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Finding the Third Proportional to 137,722 and 291,982

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Solution

The third proportional to 137,722 and 291,982 is: 619,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722 : 291,982 = 291,982 : x
  2. Step 2: Convert to fraction form
    137,722/291,982 = 291,982/x
  3. Step 3: Cross multiply
    137,722x = 291,982 × 291,982
  4. Step 4: Simplify right side
    137,722x = 85,253,488,324
  5. Step 5: Solve for x
    x = 85,253,488,324/137,722
  6. Step 6: Final answer
    x = 619,025.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.