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Finding the Third Proportional to 81,470.81 and 121,008.94

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Solution

The third proportional to 81,470.81 and 121,008.94 is: 179,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,470.81 : 121,008.94 = 121,008.94 : x
  2. Step 2: Convert to fraction form
    81,470.81/121,008.94 = 121,008.94/x
  3. Step 3: Cross multiply
    81,470.81x = 121,008.94 × 121,008.94
  4. Step 4: Simplify right side
    81,470.81x = 14,643,162,954.88
  5. Step 5: Solve for x
    x = 14,643,162,954.88/81,470.81
  6. Step 6: Final answer
    x = 179,735.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.