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Finding the Third Proportional to 530,631 and 748,422

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Solution

The third proportional to 530,631 and 748,422 is: 1,055,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,631 : 748,422 = 748,422 : x
  2. Step 2: Convert to fraction form
    530,631/748,422 = 748,422/x
  3. Step 3: Cross multiply
    530,631x = 748,422 × 748,422
  4. Step 4: Simplify right side
    530,631x = 560,135,490,084
  5. Step 5: Solve for x
    x = 560,135,490,084/530,631
  6. Step 6: Final answer
    x = 1,055,602.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.