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Finding the Third Proportional to 3,615.10 and 4,127.68

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Solution

The third proportional to 3,615.10 and 4,127.68 is: 4,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.10 : 4,127.68 = 4,127.68 : x
  2. Step 2: Convert to fraction form
    3,615.10/4,127.68 = 4,127.68/x
  3. Step 3: Cross multiply
    3,615.10x = 4,127.68 × 4,127.68
  4. Step 4: Simplify right side
    3,615.10x = 17,037,723.48
  5. Step 5: Solve for x
    x = 17,037,723.48/3,615.10
  6. Step 6: Final answer
    x = 4,712.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.