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Finding the Third Proportional to 425,226 and 639,762

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Solution

The third proportional to 425,226 and 639,762 is: 962,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,226 : 639,762 = 639,762 : x
  2. Step 2: Convert to fraction form
    425,226/639,762 = 639,762/x
  3. Step 3: Cross multiply
    425,226x = 639,762 × 639,762
  4. Step 4: Simplify right side
    425,226x = 409,295,416,644
  5. Step 5: Solve for x
    x = 409,295,416,644/425,226
  6. Step 6: Final answer
    x = 962,536.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.