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Finding the Third Proportional to 91,143 and 136,342.50

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Solution

The third proportional to 91,143 and 136,342.50 is: 203,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,143 : 136,342.50 = 136,342.50 : x
  2. Step 2: Convert to fraction form
    91,143/136,342.50 = 136,342.50/x
  3. Step 3: Cross multiply
    91,143x = 136,342.50 × 136,342.50
  4. Step 4: Simplify right side
    91,143x = 18,589,277,306.25
  5. Step 5: Solve for x
    x = 18,589,277,306.25/91,143
  6. Step 6: Final answer
    x = 203,957.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.