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Finding the Third Proportional to 418,554 and 915,348

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Solution

The third proportional to 418,554 and 915,348 is: 2,001,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,554 : 915,348 = 915,348 : x
  2. Step 2: Convert to fraction form
    418,554/915,348 = 915,348/x
  3. Step 3: Cross multiply
    418,554x = 915,348 × 915,348
  4. Step 4: Simplify right side
    418,554x = 837,861,961,104
  5. Step 5: Solve for x
    x = 837,861,961,104/418,554
  6. Step 6: Final answer
    x = 2,001,801.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.