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Finding the Third Proportional to 761.38 and 1,580.38

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Solution

The third proportional to 761.38 and 1,580.38 is: 3,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.38 : 1,580.38 = 1,580.38 : x
  2. Step 2: Convert to fraction form
    761.38/1,580.38 = 1,580.38/x
  3. Step 3: Cross multiply
    761.38x = 1,580.38 × 1,580.38
  4. Step 4: Simplify right side
    761.38x = 2,497,585.14
  5. Step 5: Solve for x
    x = 2,497,585.14/761.38
  6. Step 6: Final answer
    x = 3,280.36

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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.