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Finding the Third Proportional to 86,210 and 133,798

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Solution

The third proportional to 86,210 and 133,798 is: 207,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,210 : 133,798 = 133,798 : x
  2. Step 2: Convert to fraction form
    86,210/133,798 = 133,798/x
  3. Step 3: Cross multiply
    86,210x = 133,798 × 133,798
  4. Step 4: Simplify right side
    86,210x = 17,901,904,804
  5. Step 5: Solve for x
    x = 17,901,904,804/86,210
  6. Step 6: Final answer
    x = 207,654.62

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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.