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Finding the Third Proportional to 217,964 and 292,912

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Solution

The third proportional to 217,964 and 292,912 is: 393,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,964 : 292,912 = 292,912 : x
  2. Step 2: Convert to fraction form
    217,964/292,912 = 292,912/x
  3. Step 3: Cross multiply
    217,964x = 292,912 × 292,912
  4. Step 4: Simplify right side
    217,964x = 85,797,439,744
  5. Step 5: Solve for x
    x = 85,797,439,744/217,964
  6. Step 6: Final answer
    x = 393,631.24

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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.