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Finding the Third Proportional to 415,964 and 617,828

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Solution

The third proportional to 415,964 and 617,828 is: 917,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,964 : 617,828 = 617,828 : x
  2. Step 2: Convert to fraction form
    415,964/617,828 = 617,828/x
  3. Step 3: Cross multiply
    415,964x = 617,828 × 617,828
  4. Step 4: Simplify right side
    415,964x = 381,711,437,584
  5. Step 5: Solve for x
    x = 381,711,437,584/415,964
  6. Step 6: Final answer
    x = 917,654.98

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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.