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Finding the Third Proportional to 1,270.38 and 1,686.13

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Solution

The third proportional to 1,270.38 and 1,686.13 is: 2,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.38 : 1,686.13 = 1,686.13 : x
  2. Step 2: Convert to fraction form
    1,270.38/1,686.13 = 1,686.13/x
  3. Step 3: Cross multiply
    1,270.38x = 1,686.13 × 1,686.13
  4. Step 4: Simplify right side
    1,270.38x = 2,843,017.52
  5. Step 5: Solve for x
    x = 2,843,017.52/1,270.38
  6. Step 6: Final answer
    x = 2,237.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.