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Finding the Third Proportional to 178,432 and 243,036

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Solution

The third proportional to 178,432 and 243,036 is: 331,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,432 : 243,036 = 243,036 : x
  2. Step 2: Convert to fraction form
    178,432/243,036 = 243,036/x
  3. Step 3: Cross multiply
    178,432x = 243,036 × 243,036
  4. Step 4: Simplify right side
    178,432x = 59,066,497,296
  5. Step 5: Solve for x
    x = 59,066,497,296/178,432
  6. Step 6: Final answer
    x = 331,030.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.