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Finding the Third Proportional to 136,102.50 and 199,401.75

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Solution

The third proportional to 136,102.50 and 199,401.75 is: 292,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,102.50 : 199,401.75 = 199,401.75 : x
  2. Step 2: Convert to fraction form
    136,102.50/199,401.75 = 199,401.75/x
  3. Step 3: Cross multiply
    136,102.50x = 199,401.75 × 199,401.75
  4. Step 4: Simplify right side
    136,102.50x = 39,761,057,903.06
  5. Step 5: Solve for x
    x = 39,761,057,903.06/136,102.50
  6. Step 6: Final answer
    x = 292,140.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.