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Finding the Third Proportional to 415,972 and 617,840

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Solution

The third proportional to 415,972 and 617,840 is: 917,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,972 : 617,840 = 617,840 : x
  2. Step 2: Convert to fraction form
    415,972/617,840 = 617,840/x
  3. Step 3: Cross multiply
    415,972x = 617,840 × 617,840
  4. Step 4: Simplify right side
    415,972x = 381,726,265,600
  5. Step 5: Solve for x
    x = 381,726,265,600/415,972
  6. Step 6: Final answer
    x = 917,672.98

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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.