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Finding the Third Proportional to 137,889 and 301,617

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Solution

The third proportional to 137,889 and 301,617 is: 659,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,889 : 301,617 = 301,617 : x
  2. Step 2: Convert to fraction form
    137,889/301,617 = 301,617/x
  3. Step 3: Cross multiply
    137,889x = 301,617 × 301,617
  4. Step 4: Simplify right side
    137,889x = 90,972,814,689
  5. Step 5: Solve for x
    x = 90,972,814,689/137,889
  6. Step 6: Final answer
    x = 659,753.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.