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Finding the Third Proportional to 100,126.13 and 218,715.19

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Solution

The third proportional to 100,126.13 and 218,715.19 is: 477,760.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,126.13 : 218,715.19 = 218,715.19 : x
  2. Step 2: Convert to fraction form
    100,126.13/218,715.19 = 218,715.19/x
  3. Step 3: Cross multiply
    100,126.13x = 218,715.19 × 218,715.19
  4. Step 4: Simplify right side
    100,126.13x = 47,836,333,243.16
  5. Step 5: Solve for x
    x = 47,836,333,243.16/100,126.13
  6. Step 6: Final answer
    x = 477,760.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.