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Finding the Third Proportional to 207,660 and 312,882

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Solution

The third proportional to 207,660 and 312,882 is: 471,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,660 : 312,882 = 312,882 : x
  2. Step 2: Convert to fraction form
    207,660/312,882 = 312,882/x
  3. Step 3: Cross multiply
    207,660x = 312,882 × 312,882
  4. Step 4: Simplify right side
    207,660x = 97,895,145,924
  5. Step 5: Solve for x
    x = 97,895,145,924/207,660
  6. Step 6: Final answer
    x = 471,420.33

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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.