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Finding the Third Proportional to 86,272 and 137,730

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Solution

The third proportional to 86,272 and 137,730 is: 219,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,272 : 137,730 = 137,730 : x
  2. Step 2: Convert to fraction form
    86,272/137,730 = 137,730/x
  3. Step 3: Cross multiply
    86,272x = 137,730 × 137,730
  4. Step 4: Simplify right side
    86,272x = 18,969,552,900
  5. Step 5: Solve for x
    x = 18,969,552,900/86,272
  6. Step 6: Final answer
    x = 219,880.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.