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Finding the Third Proportional to 138,502.41 and 198,041.20

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Solution

The third proportional to 138,502.41 and 198,041.20 is: 283,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,502.41 : 198,041.20 = 198,041.20 : x
  2. Step 2: Convert to fraction form
    138,502.41/198,041.20 = 198,041.20/x
  3. Step 3: Cross multiply
    138,502.41x = 198,041.20 × 198,041.20
  4. Step 4: Simplify right side
    138,502.41x = 39,220,318,135.20
  5. Step 5: Solve for x
    x = 39,220,318,135.20/138,502.41
  6. Step 6: Final answer
    x = 283,174.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.