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Finding the Third Proportional to 114,612 and 243,987

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Solution

The third proportional to 114,612 and 243,987 is: 519,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,612 : 243,987 = 243,987 : x
  2. Step 2: Convert to fraction form
    114,612/243,987 = 243,987/x
  3. Step 3: Cross multiply
    114,612x = 243,987 × 243,987
  4. Step 4: Simplify right side
    114,612x = 59,529,656,169
  5. Step 5: Solve for x
    x = 59,529,656,169/114,612
  6. Step 6: Final answer
    x = 519,401.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.