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Finding the Third Proportional to 217,125 and 478,425

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Solution

The third proportional to 217,125 and 478,425 is: 1,054,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,125 : 478,425 = 478,425 : x
  2. Step 2: Convert to fraction form
    217,125/478,425 = 478,425/x
  3. Step 3: Cross multiply
    217,125x = 478,425 × 478,425
  4. Step 4: Simplify right side
    217,125x = 228,890,480,625
  5. Step 5: Solve for x
    x = 228,890,480,625/217,125
  6. Step 6: Final answer
    x = 1,054,187.59

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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.