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Finding the Third Proportional to 425,228 and 639,765

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Solution

The third proportional to 425,228 and 639,765 is: 962,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,228 : 639,765 = 639,765 : x
  2. Step 2: Convert to fraction form
    425,228/639,765 = 639,765/x
  3. Step 3: Cross multiply
    425,228x = 639,765 × 639,765
  4. Step 4: Simplify right side
    425,228x = 409,299,255,225
  5. Step 5: Solve for x
    x = 409,299,255,225/425,228
  6. Step 6: Final answer
    x = 962,540.70

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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.