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Finding the Third Proportional to 4,385.39 and 5,689.62

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Solution

The third proportional to 4,385.39 and 5,689.62 is: 7,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.39 : 5,689.62 = 5,689.62 : x
  2. Step 2: Convert to fraction form
    4,385.39/5,689.62 = 5,689.62/x
  3. Step 3: Cross multiply
    4,385.39x = 5,689.62 × 5,689.62
  4. Step 4: Simplify right side
    4,385.39x = 32,371,743.74
  5. Step 5: Solve for x
    x = 32,371,743.74/4,385.39
  6. Step 6: Final answer
    x = 7,381.72

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.