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Finding the Third Proportional to 243,306 and 387,441

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Solution

The third proportional to 243,306 and 387,441 is: 616,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,306 : 387,441 = 387,441 : x
  2. Step 2: Convert to fraction form
    243,306/387,441 = 387,441/x
  3. Step 3: Cross multiply
    243,306x = 387,441 × 387,441
  4. Step 4: Simplify right side
    243,306x = 150,110,528,481
  5. Step 5: Solve for x
    x = 150,110,528,481/243,306
  6. Step 6: Final answer
    x = 616,961.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.