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Finding the Third Proportional to 3,454.31 and 5,312.53

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Solution

The third proportional to 3,454.31 and 5,312.53 is: 8,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.31 : 5,312.53 = 5,312.53 : x
  2. Step 2: Convert to fraction form
    3,454.31/5,312.53 = 5,312.53/x
  3. Step 3: Cross multiply
    3,454.31x = 5,312.53 × 5,312.53
  4. Step 4: Simplify right side
    3,454.31x = 28,222,988.28
  5. Step 5: Solve for x
    x = 28,222,988.28/3,454.31
  6. Step 6: Final answer
    x = 8,170.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.