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Finding the Third Proportional to 83,438 and 172,787

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Solution

The third proportional to 83,438 and 172,787 is: 357,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,438 : 172,787 = 172,787 : x
  2. Step 2: Convert to fraction form
    83,438/172,787 = 172,787/x
  3. Step 3: Cross multiply
    83,438x = 172,787 × 172,787
  4. Step 4: Simplify right side
    83,438x = 29,855,347,369
  5. Step 5: Solve for x
    x = 29,855,347,369/83,438
  6. Step 6: Final answer
    x = 357,814.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.