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Finding the Third Proportional to 86,202.75 and 133,788.38

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Solution

The third proportional to 86,202.75 and 133,788.38 is: 207,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202.75 : 133,788.38 = 133,788.38 : x
  2. Step 2: Convert to fraction form
    86,202.75/133,788.38 = 133,788.38/x
  3. Step 3: Cross multiply
    86,202.75x = 133,788.38 × 133,788.38
  4. Step 4: Simplify right side
    86,202.75x = 17,899,329,285.14
  5. Step 5: Solve for x
    x = 17,899,329,285.14/86,202.75
  6. Step 6: Final answer
    x = 207,642.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.