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Finding the Third Proportional to 217,240 and 454,342

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Solution

The third proportional to 217,240 and 454,342 is: 950,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,240 : 454,342 = 454,342 : x
  2. Step 2: Convert to fraction form
    217,240/454,342 = 454,342/x
  3. Step 3: Cross multiply
    217,240x = 454,342 × 454,342
  4. Step 4: Simplify right side
    217,240x = 206,426,652,964
  5. Step 5: Solve for x
    x = 206,426,652,964/217,240
  6. Step 6: Final answer
    x = 950,223.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.