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Finding the Third Proportional to 426.23 and 625.36

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Solution

The third proportional to 426.23 and 625.36 is: 917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.23 : 625.36 = 625.36 : x
  2. Step 2: Convert to fraction form
    426.23/625.36 = 625.36/x
  3. Step 3: Cross multiply
    426.23x = 625.36 × 625.36
  4. Step 4: Simplify right side
    426.23x = 391,074.35
  5. Step 5: Solve for x
    x = 391,074.35/426.23
  6. Step 6: Final answer
    x = 917.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.