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Finding the Third Proportional to 683,458 and 731,572

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Solution

The third proportional to 683,458 and 731,572 is: 783,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,458 : 731,572 = 731,572 : x
  2. Step 2: Convert to fraction form
    683,458/731,572 = 731,572/x
  3. Step 3: Cross multiply
    683,458x = 731,572 × 731,572
  4. Step 4: Simplify right side
    683,458x = 535,197,591,184
  5. Step 5: Solve for x
    x = 535,197,591,184/683,458
  6. Step 6: Final answer
    x = 783,073.12

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.