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Finding the Third Proportional to 3,403.69 and 5,615.16

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Solution

The third proportional to 3,403.69 and 5,615.16 is: 9,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.69 : 5,615.16 = 5,615.16 : x
  2. Step 2: Convert to fraction form
    3,403.69/5,615.16 = 5,615.16/x
  3. Step 3: Cross multiply
    3,403.69x = 5,615.16 × 5,615.16
  4. Step 4: Simplify right side
    3,403.69x = 31,529,979.71
  5. Step 5: Solve for x
    x = 31,529,979.71/3,403.69
  6. Step 6: Final answer
    x = 9,263.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.