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Finding the Third Proportional to 495,515 and 747,917

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Solution

The third proportional to 495,515 and 747,917 is: 1,128,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,515 : 747,917 = 747,917 : x
  2. Step 2: Convert to fraction form
    495,515/747,917 = 747,917/x
  3. Step 3: Cross multiply
    495,515x = 747,917 × 747,917
  4. Step 4: Simplify right side
    495,515x = 559,379,838,889
  5. Step 5: Solve for x
    x = 559,379,838,889/495,515
  6. Step 6: Final answer
    x = 1,128,885.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.