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Finding the Third Proportional to 712,478 and 1,115,373

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Solution

The third proportional to 712,478 and 1,115,373 is: 1,746,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,478 : 1,115,373 = 1,115,373 : x
  2. Step 2: Convert to fraction form
    712,478/1,115,373 = 1,115,373/x
  3. Step 3: Cross multiply
    712,478x = 1,115,373 × 1,115,373
  4. Step 4: Simplify right side
    712,478x = 1,244,056,929,129
  5. Step 5: Solve for x
    x = 1,244,056,929,129/712,478
  6. Step 6: Final answer
    x = 1,746,098.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.