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Finding the Third Proportional to 3,113.38 and 4,751.13

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Solution

The third proportional to 3,113.38 and 4,751.13 is: 7,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.38 : 4,751.13 = 4,751.13 : x
  2. Step 2: Convert to fraction form
    3,113.38/4,751.13 = 4,751.13/x
  3. Step 3: Cross multiply
    3,113.38x = 4,751.13 × 4,751.13
  4. Step 4: Simplify right side
    3,113.38x = 22,573,188.77
  5. Step 5: Solve for x
    x = 22,573,188.77/3,113.38
  6. Step 6: Final answer
    x = 7,250.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.