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Finding the Third Proportional to 137,670 and 291,882

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Solution

The third proportional to 137,670 and 291,882 is: 618,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,670 : 291,882 = 291,882 : x
  2. Step 2: Convert to fraction form
    137,670/291,882 = 291,882/x
  3. Step 3: Cross multiply
    137,670x = 291,882 × 291,882
  4. Step 4: Simplify right side
    137,670x = 85,195,101,924
  5. Step 5: Solve for x
    x = 85,195,101,924/137,670
  6. Step 6: Final answer
    x = 618,835.64

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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.