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Finding the Third Proportional to 91,011.75 and 137,791.50

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Solution

The third proportional to 91,011.75 and 137,791.50 is: 208,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,011.75 : 137,791.50 = 137,791.50 : x
  2. Step 2: Convert to fraction form
    91,011.75/137,791.50 = 137,791.50/x
  3. Step 3: Cross multiply
    91,011.75x = 137,791.50 × 137,791.50
  4. Step 4: Simplify right side
    91,011.75x = 18,986,497,472.25
  5. Step 5: Solve for x
    x = 18,986,497,472.25/91,011.75
  6. Step 6: Final answer
    x = 208,615.89

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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.