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Finding the Third Proportional to 86,283 and 135,377

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Solution

The third proportional to 86,283 and 135,377 is: 212,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,283 : 135,377 = 135,377 : x
  2. Step 2: Convert to fraction form
    86,283/135,377 = 135,377/x
  3. Step 3: Cross multiply
    86,283x = 135,377 × 135,377
  4. Step 4: Simplify right side
    86,283x = 18,326,932,129
  5. Step 5: Solve for x
    x = 18,326,932,129/86,283
  6. Step 6: Final answer
    x = 212,404.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.