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Finding the Third Proportional to 217,656 and 478,080

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Solution

The third proportional to 217,656 and 478,080 is: 1,050,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,656 : 478,080 = 478,080 : x
  2. Step 2: Convert to fraction form
    217,656/478,080 = 478,080/x
  3. Step 3: Cross multiply
    217,656x = 478,080 × 478,080
  4. Step 4: Simplify right side
    217,656x = 228,560,486,400
  5. Step 5: Solve for x
    x = 228,560,486,400/217,656
  6. Step 6: Final answer
    x = 1,050,099.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.