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Finding the Third Proportional to 91,875 and 137,811

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Solution

The third proportional to 91,875 and 137,811 is: 206,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,875 : 137,811 = 137,811 : x
  2. Step 2: Convert to fraction form
    91,875/137,811 = 137,811/x
  3. Step 3: Cross multiply
    91,875x = 137,811 × 137,811
  4. Step 4: Simplify right side
    91,875x = 18,991,871,721
  5. Step 5: Solve for x
    x = 18,991,871,721/91,875
  6. Step 6: Final answer
    x = 206,714.25

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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.