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Finding the Third Proportional to 81,501.19 and 125,929.69

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Solution

The third proportional to 81,501.19 and 125,929.69 is: 194,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,501.19 : 125,929.69 = 125,929.69 : x
  2. Step 2: Convert to fraction form
    81,501.19/125,929.69 = 125,929.69/x
  3. Step 3: Cross multiply
    81,501.19x = 125,929.69 × 125,929.69
  4. Step 4: Simplify right side
    81,501.19x = 15,858,286,193.85
  5. Step 5: Solve for x
    x = 15,858,286,193.85/81,501.19
  6. Step 6: Final answer
    x = 194,577.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.