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Finding the Third Proportional to 142,590 and 199,344

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Solution

The third proportional to 142,590 and 199,344 is: 278,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,590 : 199,344 = 199,344 : x
  2. Step 2: Convert to fraction form
    142,590/199,344 = 199,344/x
  3. Step 3: Cross multiply
    142,590x = 199,344 × 199,344
  4. Step 4: Simplify right side
    142,590x = 39,738,030,336
  5. Step 5: Solve for x
    x = 39,738,030,336/142,590
  6. Step 6: Final answer
    x = 278,687.36

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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.