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Finding the Third Proportional to 640.31 and 1,378.13

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Solution

The third proportional to 640.31 and 1,378.13 is: 2,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.31 : 1,378.13 = 1,378.13 : x
  2. Step 2: Convert to fraction form
    640.31/1,378.13 = 1,378.13/x
  3. Step 3: Cross multiply
    640.31x = 1,378.13 × 1,378.13
  4. Step 4: Simplify right side
    640.31x = 1,899,228.52
  5. Step 5: Solve for x
    x = 1,899,228.52/640.31
  6. Step 6: Final answer
    x = 2,966.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.