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Finding the Third Proportional to 86,877.75 and 138,747.38

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Solution

The third proportional to 86,877.75 and 138,747.38 is: 221,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,877.75 : 138,747.38 = 138,747.38 : x
  2. Step 2: Convert to fraction form
    86,877.75/138,747.38 = 138,747.38/x
  3. Step 3: Cross multiply
    86,877.75x = 138,747.38 × 138,747.38
  4. Step 4: Simplify right side
    86,877.75x = 19,250,834,069.39
  5. Step 5: Solve for x
    x = 19,250,834,069.39/86,877.75
  6. Step 6: Final answer
    x = 221,585.32

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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.