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Finding the Third Proportional to 5,454.32 and 8,340.10

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Solution

The third proportional to 5,454.32 and 8,340.10 is: 12,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.32 : 8,340.10 = 8,340.10 : x
  2. Step 2: Convert to fraction form
    5,454.32/8,340.10 = 8,340.10/x
  3. Step 3: Cross multiply
    5,454.32x = 8,340.10 × 8,340.10
  4. Step 4: Simplify right side
    5,454.32x = 69,557,261.49
  5. Step 5: Solve for x
    x = 69,557,261.49/5,454.32
  6. Step 6: Final answer
    x = 12,752.70

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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.