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Finding the Third Proportional to 137,717 and 291,970

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Solution

The third proportional to 137,717 and 291,970 is: 618,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,717 : 291,970 = 291,970 : x
  2. Step 2: Convert to fraction form
    137,717/291,970 = 291,970/x
  3. Step 3: Cross multiply
    137,717x = 291,970 × 291,970
  4. Step 4: Simplify right side
    137,717x = 85,246,480,900
  5. Step 5: Solve for x
    x = 85,246,480,900/137,717
  6. Step 6: Final answer
    x = 618,997.52

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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.