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Finding the Third Proportional to 1,702.13 and 3,079.31

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Solution

The third proportional to 1,702.13 and 3,079.31 is: 5,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.13 : 3,079.31 = 3,079.31 : x
  2. Step 2: Convert to fraction form
    1,702.13/3,079.31 = 3,079.31/x
  3. Step 3: Cross multiply
    1,702.13x = 3,079.31 × 3,079.31
  4. Step 4: Simplify right side
    1,702.13x = 9,482,165.47
  5. Step 5: Solve for x
    x = 9,482,165.47/1,702.13
  6. Step 6: Final answer
    x = 5,570.78

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.