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Finding the Third Proportional to 85,615.50 and 136,351

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Solution

The third proportional to 85,615.50 and 136,351 is: 217,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,615.50 : 136,351 = 136,351 : x
  2. Step 2: Convert to fraction form
    85,615.50/136,351 = 136,351/x
  3. Step 3: Cross multiply
    85,615.50x = 136,351 × 136,351
  4. Step 4: Simplify right side
    85,615.50x = 18,591,595,201
  5. Step 5: Solve for x
    x = 18,591,595,201/85,615.50
  6. Step 6: Final answer
    x = 217,152.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.