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Finding the Third Proportional to 317,733 and 698,438

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Solution

The third proportional to 317,733 and 698,438 is: 1,535,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,733 : 698,438 = 698,438 : x
  2. Step 2: Convert to fraction form
    317,733/698,438 = 698,438/x
  3. Step 3: Cross multiply
    317,733x = 698,438 × 698,438
  4. Step 4: Simplify right side
    317,733x = 487,815,639,844
  5. Step 5: Solve for x
    x = 487,815,639,844/317,733
  6. Step 6: Final answer
    x = 1,535,300.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.