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Finding the Third Proportional to 69,642.28 and 108,632.39

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Solution

The third proportional to 69,642.28 and 108,632.39 is: 169,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,642.28 : 108,632.39 = 108,632.39 : x
  2. Step 2: Convert to fraction form
    69,642.28/108,632.39 = 108,632.39/x
  3. Step 3: Cross multiply
    69,642.28x = 108,632.39 × 108,632.39
  4. Step 4: Simplify right side
    69,642.28x = 11,800,996,292.90
  5. Step 5: Solve for x
    x = 11,800,996,292.90/69,642.28
  6. Step 6: Final answer
    x = 169,451.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.