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Finding the Third Proportional to 415,952 and 617,810

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Solution

The third proportional to 415,952 and 617,810 is: 917,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,952 : 617,810 = 617,810 : x
  2. Step 2: Convert to fraction form
    415,952/617,810 = 617,810/x
  3. Step 3: Cross multiply
    415,952x = 617,810 × 617,810
  4. Step 4: Simplify right side
    415,952x = 381,689,196,100
  5. Step 5: Solve for x
    x = 381,689,196,100/415,952
  6. Step 6: Final answer
    x = 917,627.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.