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Finding the Third Proportional to 217,122.75 and 478,419

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Solution

The third proportional to 217,122.75 and 478,419 is: 1,054,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,122.75 : 478,419 = 478,419 : x
  2. Step 2: Convert to fraction form
    217,122.75/478,419 = 478,419/x
  3. Step 3: Cross multiply
    217,122.75x = 478,419 × 478,419
  4. Step 4: Simplify right side
    217,122.75x = 228,884,739,561
  5. Step 5: Solve for x
    x = 228,884,739,561/217,122.75
  6. Step 6: Final answer
    x = 1,054,172.07

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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.