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Finding the Third Proportional to 478,928 and 639,069

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Solution

The third proportional to 478,928 and 639,069 is: 852,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,928 : 639,069 = 639,069 : x
  2. Step 2: Convert to fraction form
    478,928/639,069 = 639,069/x
  3. Step 3: Cross multiply
    478,928x = 639,069 × 639,069
  4. Step 4: Simplify right side
    478,928x = 408,409,186,761
  5. Step 5: Solve for x
    x = 408,409,186,761/478,928
  6. Step 6: Final answer
    x = 852,756.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.