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Finding the Third Proportional to 86,428 and 133,331

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Solution

The third proportional to 86,428 and 133,331 is: 205,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,428 : 133,331 = 133,331 : x
  2. Step 2: Convert to fraction form
    86,428/133,331 = 133,331/x
  3. Step 3: Cross multiply
    86,428x = 133,331 × 133,331
  4. Step 4: Simplify right side
    86,428x = 17,777,155,561
  5. Step 5: Solve for x
    x = 17,777,155,561/86,428
  6. Step 6: Final answer
    x = 205,687.46

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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.