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Finding the Third Proportional to 81,459 and 123,357.75

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Solution

The third proportional to 81,459 and 123,357.75 is: 186,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,459 : 123,357.75 = 123,357.75 : x
  2. Step 2: Convert to fraction form
    81,459/123,357.75 = 123,357.75/x
  3. Step 3: Cross multiply
    81,459x = 123,357.75 × 123,357.75
  4. Step 4: Simplify right side
    81,459x = 15,217,134,485.06
  5. Step 5: Solve for x
    x = 15,217,134,485.06/81,459
  6. Step 6: Final answer
    x = 186,807.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.