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Finding the Third Proportional to 7,534.69 and 14,689.69

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Solution

The third proportional to 7,534.69 and 14,689.69 is: 28,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.69 : 14,689.69 = 14,689.69 : x
  2. Step 2: Convert to fraction form
    7,534.69/14,689.69 = 14,689.69/x
  3. Step 3: Cross multiply
    7,534.69x = 14,689.69 × 14,689.69
  4. Step 4: Simplify right side
    7,534.69x = 215,786,918.85
  5. Step 5: Solve for x
    x = 215,786,918.85/7,534.69
  6. Step 6: Final answer
    x = 28,639.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.