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Finding the Third Proportional to 82,255.50 and 130,825.13

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Solution

The third proportional to 82,255.50 and 130,825.13 is: 208,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,255.50 : 130,825.13 = 130,825.13 : x
  2. Step 2: Convert to fraction form
    82,255.50/130,825.13 = 130,825.13/x
  3. Step 3: Cross multiply
    82,255.50x = 130,825.13 × 130,825.13
  4. Step 4: Simplify right side
    82,255.50x = 17,115,213,331.27
  5. Step 5: Solve for x
    x = 17,115,213,331.27/82,255.50
  6. Step 6: Final answer
    x = 208,073.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.