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Finding the Third Proportional to 91,542.09 and 138,604.08

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Solution

The third proportional to 91,542.09 and 138,604.08 is: 209,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,542.09 : 138,604.08 = 138,604.08 : x
  2. Step 2: Convert to fraction form
    91,542.09/138,604.08 = 138,604.08/x
  3. Step 3: Cross multiply
    91,542.09x = 138,604.08 × 138,604.08
  4. Step 4: Simplify right side
    91,542.09x = 19,211,090,472.88
  5. Step 5: Solve for x
    x = 19,211,090,472.88/91,542.09
  6. Step 6: Final answer
    x = 209,860.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.