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Finding the Third Proportional to 84,579.19 and 126,868.78

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Solution

The third proportional to 84,579.19 and 126,868.78 is: 190,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,579.19 : 126,868.78 = 126,868.78 : x
  2. Step 2: Convert to fraction form
    84,579.19/126,868.78 = 126,868.78/x
  3. Step 3: Cross multiply
    84,579.19x = 126,868.78 × 126,868.78
  4. Step 4: Simplify right side
    84,579.19x = 16,095,687,655.86
  5. Step 5: Solve for x
    x = 16,095,687,655.86/84,579.19
  6. Step 6: Final answer
    x = 190,303.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.