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Finding the Third Proportional to 5,451.38 and 8,646.19

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Solution

The third proportional to 5,451.38 and 8,646.19 is: 13,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.38 : 8,646.19 = 8,646.19 : x
  2. Step 2: Convert to fraction form
    5,451.38/8,646.19 = 8,646.19/x
  3. Step 3: Cross multiply
    5,451.38x = 8,646.19 × 8,646.19
  4. Step 4: Simplify right side
    5,451.38x = 74,756,558.29
  5. Step 5: Solve for x
    x = 74,756,558.29/5,451.38
  6. Step 6: Final answer
    x = 13,713.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.