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Finding the Third Proportional to 2,781.84 and 4,275.28

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Solution

The third proportional to 2,781.84 and 4,275.28 is: 6,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.84 : 4,275.28 = 4,275.28 : x
  2. Step 2: Convert to fraction form
    2,781.84/4,275.28 = 4,275.28/x
  3. Step 3: Cross multiply
    2,781.84x = 4,275.28 × 4,275.28
  4. Step 4: Simplify right side
    2,781.84x = 18,278,029.77
  5. Step 5: Solve for x
    x = 18,278,029.77/2,781.84
  6. Step 6: Final answer
    x = 6,570.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.