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Finding the Third Proportional to 217,964 and 292,332

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Solution

The third proportional to 217,964 and 292,332 is: 392,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,964 : 292,332 = 292,332 : x
  2. Step 2: Convert to fraction form
    217,964/292,332 = 292,332/x
  3. Step 3: Cross multiply
    217,964x = 292,332 × 292,332
  4. Step 4: Simplify right side
    217,964x = 85,457,998,224
  5. Step 5: Solve for x
    x = 85,457,998,224/217,964
  6. Step 6: Final answer
    x = 392,073.91

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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.