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Finding the Third Proportional to 101,422.13 and 219,451.78

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Solution

The third proportional to 101,422.13 and 219,451.78 is: 474,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,422.13 : 219,451.78 = 219,451.78 : x
  2. Step 2: Convert to fraction form
    101,422.13/219,451.78 = 219,451.78/x
  3. Step 3: Cross multiply
    101,422.13x = 219,451.78 × 219,451.78
  4. Step 4: Simplify right side
    101,422.13x = 48,159,084,293.80
  5. Step 5: Solve for x
    x = 48,159,084,293.80/101,422.13
  6. Step 6: Final answer
    x = 474,838.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.