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Finding the Third Proportional to 640.13 and 954.28

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Solution

The third proportional to 640.13 and 954.28 is: 1,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.13 : 954.28 = 954.28 : x
  2. Step 2: Convert to fraction form
    640.13/954.28 = 954.28/x
  3. Step 3: Cross multiply
    640.13x = 954.28 × 954.28
  4. Step 4: Simplify right side
    640.13x = 910,652.70
  5. Step 5: Solve for x
    x = 910,652.70/640.13
  6. Step 6: Final answer
    x = 1,422.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.