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Finding the Third Proportional to 1,392.71 and 2,902.18

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Solution

The third proportional to 1,392.71 and 2,902.18 is: 6,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.71 : 2,902.18 = 2,902.18 : x
  2. Step 2: Convert to fraction form
    1,392.71/2,902.18 = 2,902.18/x
  3. Step 3: Cross multiply
    1,392.71x = 2,902.18 × 2,902.18
  4. Step 4: Simplify right side
    1,392.71x = 8,422,669.61
  5. Step 5: Solve for x
    x = 8,422,669.61/1,392.71
  6. Step 6: Final answer
    x = 6,047.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.