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Finding the Third Proportional to 81,549.28 and 114,840.28

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Solution

The third proportional to 81,549.28 and 114,840.28 is: 161,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,549.28 : 114,840.28 = 114,840.28 : x
  2. Step 2: Convert to fraction form
    81,549.28/114,840.28 = 114,840.28/x
  3. Step 3: Cross multiply
    81,549.28x = 114,840.28 × 114,840.28
  4. Step 4: Simplify right side
    81,549.28x = 13,188,290,197.58
  5. Step 5: Solve for x
    x = 13,188,290,197.58/81,549.28
  6. Step 6: Final answer
    x = 161,721.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.