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Finding the Third Proportional to 7,057.13 and 9,689.63

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Solution

The third proportional to 7,057.13 and 9,689.63 is: 13,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.13 : 9,689.63 = 9,689.63 : x
  2. Step 2: Convert to fraction form
    7,057.13/9,689.63 = 9,689.63/x
  3. Step 3: Cross multiply
    7,057.13x = 9,689.63 × 9,689.63
  4. Step 4: Simplify right side
    7,057.13x = 93,888,832.64
  5. Step 5: Solve for x
    x = 93,888,832.64/7,057.13
  6. Step 6: Final answer
    x = 13,304.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.