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Finding the Third Proportional to 137,718 and 291,972

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Solution

The third proportional to 137,718 and 291,972 is: 619,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718 : 291,972 = 291,972 : x
  2. Step 2: Convert to fraction form
    137,718/291,972 = 291,972/x
  3. Step 3: Cross multiply
    137,718x = 291,972 × 291,972
  4. Step 4: Simplify right side
    137,718x = 85,247,648,784
  5. Step 5: Solve for x
    x = 85,247,648,784/137,718
  6. Step 6: Final answer
    x = 619,001.50

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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.