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Finding the Third Proportional to 207,650 and 312,867

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Solution

The third proportional to 207,650 and 312,867 is: 471,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,650 : 312,867 = 312,867 : x
  2. Step 2: Convert to fraction form
    207,650/312,867 = 312,867/x
  3. Step 3: Cross multiply
    207,650x = 312,867 × 312,867
  4. Step 4: Simplify right side
    207,650x = 97,885,759,689
  5. Step 5: Solve for x
    x = 97,885,759,689/207,650
  6. Step 6: Final answer
    x = 471,397.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.