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Finding the Third Proportional to 5,320.69 and 8,639.16

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Solution

The third proportional to 5,320.69 and 8,639.16 is: 14,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.69 : 8,639.16 = 8,639.16 : x
  2. Step 2: Convert to fraction form
    5,320.69/8,639.16 = 8,639.16/x
  3. Step 3: Cross multiply
    5,320.69x = 8,639.16 × 8,639.16
  4. Step 4: Simplify right side
    5,320.69x = 74,635,020.71
  5. Step 5: Solve for x
    x = 74,635,020.71/5,320.69
  6. Step 6: Final answer
    x = 14,027.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.