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Finding the Third Proportional to 137,722 and 291,979

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Solution

The third proportional to 137,722 and 291,979 is: 619,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722 : 291,979 = 291,979 : x
  2. Step 2: Convert to fraction form
    137,722/291,979 = 291,979/x
  3. Step 3: Cross multiply
    137,722x = 291,979 × 291,979
  4. Step 4: Simplify right side
    137,722x = 85,251,736,441
  5. Step 5: Solve for x
    x = 85,251,736,441/137,722
  6. Step 6: Final answer
    x = 619,013.20

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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.