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Finding the Third Proportional to 1,730.13 and 2,686.38

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Solution

The third proportional to 1,730.13 and 2,686.38 is: 4,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.13 : 2,686.38 = 2,686.38 : x
  2. Step 2: Convert to fraction form
    1,730.13/2,686.38 = 2,686.38/x
  3. Step 3: Cross multiply
    1,730.13x = 2,686.38 × 2,686.38
  4. Step 4: Simplify right side
    1,730.13x = 7,216,610.64
  5. Step 5: Solve for x
    x = 7,216,610.64/1,730.13
  6. Step 6: Final answer
    x = 4,171.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.