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Finding the Third Proportional to 86,205 and 133,791

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Solution

The third proportional to 86,205 and 133,791 is: 207,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,205 : 133,791 = 133,791 : x
  2. Step 2: Convert to fraction form
    86,205/133,791 = 133,791/x
  3. Step 3: Cross multiply
    86,205x = 133,791 × 133,791
  4. Step 4: Simplify right side
    86,205x = 17,900,031,681
  5. Step 5: Solve for x
    x = 17,900,031,681/86,205
  6. Step 6: Final answer
    x = 207,644.94

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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.