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Finding the Third Proportional to 143,838 and 217,764

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Solution

The third proportional to 143,838 and 217,764 is: 329,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,838 : 217,764 = 217,764 : x
  2. Step 2: Convert to fraction form
    143,838/217,764 = 217,764/x
  3. Step 3: Cross multiply
    143,838x = 217,764 × 217,764
  4. Step 4: Simplify right side
    143,838x = 47,421,159,696
  5. Step 5: Solve for x
    x = 47,421,159,696/143,838
  6. Step 6: Final answer
    x = 329,684.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.