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Finding the Third Proportional to 217,986 and 292,944

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Solution

The third proportional to 217,986 and 292,944 is: 393,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,986 : 292,944 = 292,944 : x
  2. Step 2: Convert to fraction form
    217,986/292,944 = 292,944/x
  3. Step 3: Cross multiply
    217,986x = 292,944 × 292,944
  4. Step 4: Simplify right side
    217,986x = 85,816,187,136
  5. Step 5: Solve for x
    x = 85,816,187,136/217,986
  6. Step 6: Final answer
    x = 393,677.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.