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Finding the Third Proportional to 217,777 and 329,946

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Solution

The third proportional to 217,777 and 329,946 is: 499,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,777 : 329,946 = 329,946 : x
  2. Step 2: Convert to fraction form
    217,777/329,946 = 329,946/x
  3. Step 3: Cross multiply
    217,777x = 329,946 × 329,946
  4. Step 4: Simplify right side
    217,777x = 108,864,362,916
  5. Step 5: Solve for x
    x = 108,864,362,916/217,777
  6. Step 6: Final answer
    x = 499,889.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.