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Finding the Third Proportional to 86,215 and 133,089

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Solution

The third proportional to 86,215 and 133,089 is: 205,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,215 : 133,089 = 133,089 : x
  2. Step 2: Convert to fraction form
    86,215/133,089 = 133,089/x
  3. Step 3: Cross multiply
    86,215x = 133,089 × 133,089
  4. Step 4: Simplify right side
    86,215x = 17,712,681,921
  5. Step 5: Solve for x
    x = 17,712,681,921/86,215
  6. Step 6: Final answer
    x = 205,447.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.