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Finding the Third Proportional to 142,186 and 216,349

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Solution

The third proportional to 142,186 and 216,349 is: 329,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,186 : 216,349 = 216,349 : x
  2. Step 2: Convert to fraction form
    142,186/216,349 = 216,349/x
  3. Step 3: Cross multiply
    142,186x = 216,349 × 216,349
  4. Step 4: Simplify right side
    142,186x = 46,806,889,801
  5. Step 5: Solve for x
    x = 46,806,889,801/142,186
  6. Step 6: Final answer
    x = 329,194.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.