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Finding the Third Proportional to 138,787 and 302,656

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Solution

The third proportional to 138,787 and 302,656 is: 660,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,787 : 302,656 = 302,656 : x
  2. Step 2: Convert to fraction form
    138,787/302,656 = 302,656/x
  3. Step 3: Cross multiply
    138,787x = 302,656 × 302,656
  4. Step 4: Simplify right side
    138,787x = 91,600,654,336
  5. Step 5: Solve for x
    x = 91,600,654,336/138,787
  6. Step 6: Final answer
    x = 660,008.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.