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Finding the Third Proportional to 317,731.50 and 698,231.25

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Solution

The third proportional to 317,731.50 and 698,231.25 is: 1,534,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,731.50 : 698,231.25 = 698,231.25 : x
  2. Step 2: Convert to fraction form
    317,731.50/698,231.25 = 698,231.25/x
  3. Step 3: Cross multiply
    317,731.50x = 698,231.25 × 698,231.25
  4. Step 4: Simplify right side
    317,731.50x = 487,526,878,476.56
  5. Step 5: Solve for x
    x = 487,526,878,476.56/317,731.50
  6. Step 6: Final answer
    x = 1,534,398.95

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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.