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Finding the Third Proportional to 761.38 and 1,569.88

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Solution

The third proportional to 761.38 and 1,569.88 is: 3,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.38 : 1,569.88 = 1,569.88 : x
  2. Step 2: Convert to fraction form
    761.38/1,569.88 = 1,569.88/x
  3. Step 3: Cross multiply
    761.38x = 1,569.88 × 1,569.88
  4. Step 4: Simplify right side
    761.38x = 2,464,507.52
  5. Step 5: Solve for x
    x = 2,464,507.52/761.38
  6. Step 6: Final answer
    x = 3,236.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.