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Finding the Third Proportional to 631.23 and 1,355.48

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Solution

The third proportional to 631.23 and 1,355.48 is: 2,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.23 : 1,355.48 = 1,355.48 : x
  2. Step 2: Convert to fraction form
    631.23/1,355.48 = 1,355.48/x
  3. Step 3: Cross multiply
    631.23x = 1,355.48 × 1,355.48
  4. Step 4: Simplify right side
    631.23x = 1,837,337.89
  5. Step 5: Solve for x
    x = 1,837,337.89/631.23
  6. Step 6: Final answer
    x = 2,910.72

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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.