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Finding the Third Proportional to 81,524.81 and 112,649.20

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Solution

The third proportional to 81,524.81 and 112,649.20 is: 155,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,524.81 : 112,649.20 = 112,649.20 : x
  2. Step 2: Convert to fraction form
    81,524.81/112,649.20 = 112,649.20/x
  3. Step 3: Cross multiply
    81,524.81x = 112,649.20 × 112,649.20
  4. Step 4: Simplify right side
    81,524.81x = 12,689,842,964.70
  5. Step 5: Solve for x
    x = 12,689,842,964.70/81,524.81
  6. Step 6: Final answer
    x = 155,656.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.