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Finding the Third Proportional to 5,717.25 and 8,909.63

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Solution

The third proportional to 5,717.25 and 8,909.63 is: 13,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.25 : 8,909.63 = 8,909.63 : x
  2. Step 2: Convert to fraction form
    5,717.25/8,909.63 = 8,909.63/x
  3. Step 3: Cross multiply
    5,717.25x = 8,909.63 × 8,909.63
  4. Step 4: Simplify right side
    5,717.25x = 79,381,417.64
  5. Step 5: Solve for x
    x = 79,381,417.64/5,717.25
  6. Step 6: Final answer
    x = 13,884.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.