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Finding the Third Proportional to 1,947.80 and 3,656.39

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Solution

The third proportional to 1,947.80 and 3,656.39 is: 6,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.80 : 3,656.39 = 3,656.39 : x
  2. Step 2: Convert to fraction form
    1,947.80/3,656.39 = 3,656.39/x
  3. Step 3: Cross multiply
    1,947.80x = 3,656.39 × 3,656.39
  4. Step 4: Simplify right side
    1,947.80x = 13,369,192.40
  5. Step 5: Solve for x
    x = 13,369,192.40/1,947.80
  6. Step 6: Final answer
    x = 6,863.75

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.