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Finding the Third Proportional to 118,386,652,717.55 and 243,049,326,777.56

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Solution

The third proportional to 118,386,652,717.55 and 243,049,326,777.56 is: 498,983,406,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,386,652,717.55 : 243,049,326,777.56 = 243,049,326,777.56 : x
  2. Step 2: Convert to fraction form
    118,386,652,717.55/243,049,326,777.56 = 243,049,326,777.56/x
  3. Step 3: Cross multiply
    118,386,652,717.55x = 243,049,326,777.56 × 243,049,326,777.56
  4. Step 4: Simplify right side
    118,386,652,717.55x = 59,072,975,247,025,144,594,432
  5. Step 5: Solve for x
    x = 59,072,975,247,025,144,594,432/118,386,652,717.55
  6. Step 6: Final answer
    x = 498,983,406,414.60

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.