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Finding the Third Proportional to 5,752.69 and 8,446.78

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Solution

The third proportional to 5,752.69 and 8,446.78 is: 12,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.69 : 8,446.78 = 8,446.78 : x
  2. Step 2: Convert to fraction form
    5,752.69/8,446.78 = 8,446.78/x
  3. Step 3: Cross multiply
    5,752.69x = 8,446.78 × 8,446.78
  4. Step 4: Simplify right side
    5,752.69x = 71,348,113.49
  5. Step 5: Solve for x
    x = 71,348,113.49/5,752.69
  6. Step 6: Final answer
    x = 12,402.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.