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Finding the Third Proportional to 5,672 and 8,856

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Solution

The third proportional to 5,672 and 8,856 is: 13,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672 : 8,856 = 8,856 : x
  2. Step 2: Convert to fraction form
    5,672/8,856 = 8,856/x
  3. Step 3: Cross multiply
    5,672x = 8,856 × 8,856
  4. Step 4: Simplify right side
    5,672x = 78,428,736
  5. Step 5: Solve for x
    x = 78,428,736/5,672
  6. Step 6: Final answer
    x = 13,827.35

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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.