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Finding the Third Proportional to 426.25 and 631.25

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Solution

The third proportional to 426.25 and 631.25 is: 934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.25 : 631.25 = 631.25 : x
  2. Step 2: Convert to fraction form
    426.25/631.25 = 631.25/x
  3. Step 3: Cross multiply
    426.25x = 631.25 × 631.25
  4. Step 4: Simplify right side
    426.25x = 398,476.56
  5. Step 5: Solve for x
    x = 398,476.56/426.25
  6. Step 6: Final answer
    x = 934.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.