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Finding the Third Proportional to 902.71 and 1,432.37

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Solution

The third proportional to 902.71 and 1,432.37 is: 2,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.71 : 1,432.37 = 1,432.37 : x
  2. Step 2: Convert to fraction form
    902.71/1,432.37 = 1,432.37/x
  3. Step 3: Cross multiply
    902.71x = 1,432.37 × 1,432.37
  4. Step 4: Simplify right side
    902.71x = 2,051,686.95
  5. Step 5: Solve for x
    x = 2,051,686.95/902.71
  6. Step 6: Final answer
    x = 2,272.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.