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Finding the Third Proportional to 84,296.32 and 125,160.19

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Solution

The third proportional to 84,296.32 and 125,160.19 is: 185,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,296.32 : 125,160.19 = 125,160.19 : x
  2. Step 2: Convert to fraction form
    84,296.32/125,160.19 = 125,160.19/x
  3. Step 3: Cross multiply
    84,296.32x = 125,160.19 × 125,160.19
  4. Step 4: Simplify right side
    84,296.32x = 15,665,072,535.04
  5. Step 5: Solve for x
    x = 15,665,072,535.04/84,296.32
  6. Step 6: Final answer
    x = 185,833.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.