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Finding the Third Proportional to 38,640.80 and 81,432.84

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Solution

The third proportional to 38,640.80 and 81,432.84 is: 171,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,640.80 : 81,432.84 = 81,432.84 : x
  2. Step 2: Convert to fraction form
    38,640.80/81,432.84 = 81,432.84/x
  3. Step 3: Cross multiply
    38,640.80x = 81,432.84 × 81,432.84
  4. Step 4: Simplify right side
    38,640.80x = 6,631,308,041.21
  5. Step 5: Solve for x
    x = 6,631,308,041.21/38,640.80
  6. Step 6: Final answer
    x = 171,614.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.