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Finding the Third Proportional to 81,066.75 and 121,275.75

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Solution

The third proportional to 81,066.75 and 121,275.75 is: 181,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,066.75 : 121,275.75 = 121,275.75 : x
  2. Step 2: Convert to fraction form
    81,066.75/121,275.75 = 121,275.75/x
  3. Step 3: Cross multiply
    81,066.75x = 121,275.75 × 121,275.75
  4. Step 4: Simplify right side
    81,066.75x = 14,707,807,538.06
  5. Step 5: Solve for x
    x = 14,707,807,538.06/81,066.75
  6. Step 6: Final answer
    x = 181,428.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.