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Finding the Third Proportional to 639.30 and 1,023.02

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Solution

The third proportional to 639.30 and 1,023.02 is: 1,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.30 : 1,023.02 = 1,023.02 : x
  2. Step 2: Convert to fraction form
    639.30/1,023.02 = 1,023.02/x
  3. Step 3: Cross multiply
    639.30x = 1,023.02 × 1,023.02
  4. Step 4: Simplify right side
    639.30x = 1,046,570.96
  5. Step 5: Solve for x
    x = 1,046,570.96/639.30
  6. Step 6: Final answer
    x = 1,637.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.