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Finding the Third Proportional to 4,129.73 and 6,397.10

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Solution

The third proportional to 4,129.73 and 6,397.10 is: 9,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.73 : 6,397.10 = 6,397.10 : x
  2. Step 2: Convert to fraction form
    4,129.73/6,397.10 = 6,397.10/x
  3. Step 3: Cross multiply
    4,129.73x = 6,397.10 × 6,397.10
  4. Step 4: Simplify right side
    4,129.73x = 40,922,908.40
  5. Step 5: Solve for x
    x = 40,922,908.40/4,129.73
  6. Step 6: Final answer
    x = 9,909.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.