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Finding the Third Proportional to 7,310.25 and 9,689.63

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Solution

The third proportional to 7,310.25 and 9,689.63 is: 12,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.25 : 9,689.63 = 9,689.63 : x
  2. Step 2: Convert to fraction form
    7,310.25/9,689.63 = 9,689.63/x
  3. Step 3: Cross multiply
    7,310.25x = 9,689.63 × 9,689.63
  4. Step 4: Simplify right side
    7,310.25x = 93,888,832.64
  5. Step 5: Solve for x
    x = 93,888,832.64/7,310.25
  6. Step 6: Final answer
    x = 12,843.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.