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Finding the Third Proportional to 215,949 and 337,989

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Solution

The third proportional to 215,949 and 337,989 is: 528,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,949 : 337,989 = 337,989 : x
  2. Step 2: Convert to fraction form
    215,949/337,989 = 337,989/x
  3. Step 3: Cross multiply
    215,949x = 337,989 × 337,989
  4. Step 4: Simplify right side
    215,949x = 114,236,564,121
  5. Step 5: Solve for x
    x = 114,236,564,121/215,949
  6. Step 6: Final answer
    x = 528,997.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.