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Finding the Third Proportional to 84,091.25 and 130,340.25

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Solution

The third proportional to 84,091.25 and 130,340.25 is: 202,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,091.25 : 130,340.25 = 130,340.25 : x
  2. Step 2: Convert to fraction form
    84,091.25/130,340.25 = 130,340.25/x
  3. Step 3: Cross multiply
    84,091.25x = 130,340.25 × 130,340.25
  4. Step 4: Simplify right side
    84,091.25x = 16,988,580,770.06
  5. Step 5: Solve for x
    x = 16,988,580,770.06/84,091.25
  6. Step 6: Final answer
    x = 202,025.55

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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.