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Finding the Third Proportional to 516.50 and 1,113.50

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Solution

The third proportional to 516.50 and 1,113.50 is: 2,400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.50 : 1,113.50 = 1,113.50 : x
  2. Step 2: Convert to fraction form
    516.50/1,113.50 = 1,113.50/x
  3. Step 3: Cross multiply
    516.50x = 1,113.50 × 1,113.50
  4. Step 4: Simplify right side
    516.50x = 1,239,882.25
  5. Step 5: Solve for x
    x = 1,239,882.25/516.50
  6. Step 6: Final answer
    x = 2,400.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.