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Finding the Third Proportional to 104,139.56 and 224,101.13

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Solution

The third proportional to 104,139.56 and 224,101.13 is: 482,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,139.56 : 224,101.13 = 224,101.13 : x
  2. Step 2: Convert to fraction form
    104,139.56/224,101.13 = 224,101.13/x
  3. Step 3: Cross multiply
    104,139.56x = 224,101.13 × 224,101.13
  4. Step 4: Simplify right side
    104,139.56x = 50,221,314,226.27
  5. Step 5: Solve for x
    x = 50,221,314,226.27/104,139.56
  6. Step 6: Final answer
    x = 482,250.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.