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Finding the Third Proportional to 81,720.56 and 176,348.81

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Solution

The third proportional to 81,720.56 and 176,348.81 is: 380,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,720.56 : 176,348.81 = 176,348.81 : x
  2. Step 2: Convert to fraction form
    81,720.56/176,348.81 = 176,348.81/x
  3. Step 3: Cross multiply
    81,720.56x = 176,348.81 × 176,348.81
  4. Step 4: Simplify right side
    81,720.56x = 31,098,903,670.16
  5. Step 5: Solve for x
    x = 31,098,903,670.16/81,720.56
  6. Step 6: Final answer
    x = 380,551.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.