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Finding the Third Proportional to 142,598 and 199,373

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Solution

The third proportional to 142,598 and 199,373 is: 278,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,598 : 199,373 = 199,373 : x
  2. Step 2: Convert to fraction form
    142,598/199,373 = 199,373/x
  3. Step 3: Cross multiply
    142,598x = 199,373 × 199,373
  4. Step 4: Simplify right side
    142,598x = 39,749,593,129
  5. Step 5: Solve for x
    x = 39,749,593,129/142,598
  6. Step 6: Final answer
    x = 278,752.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.