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Finding the Third Proportional to 115,059 and 155,452.50

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Solution

The third proportional to 115,059 and 155,452.50 is: 210,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,059 : 155,452.50 = 155,452.50 : x
  2. Step 2: Convert to fraction form
    115,059/155,452.50 = 155,452.50/x
  3. Step 3: Cross multiply
    115,059x = 155,452.50 × 155,452.50
  4. Step 4: Simplify right side
    115,059x = 24,165,479,756.25
  5. Step 5: Solve for x
    x = 24,165,479,756.25/115,059
  6. Step 6: Final answer
    x = 210,026.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.