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Finding the Third Proportional to 217,877 and 471,946

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Solution

The third proportional to 217,877 and 471,946 is: 1,022,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,877 : 471,946 = 471,946 : x
  2. Step 2: Convert to fraction form
    217,877/471,946 = 471,946/x
  3. Step 3: Cross multiply
    217,877x = 471,946 × 471,946
  4. Step 4: Simplify right side
    217,877x = 222,733,026,916
  5. Step 5: Solve for x
    x = 222,733,026,916/217,877
  6. Step 6: Final answer
    x = 1,022,287.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.