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Finding the Third Proportional to 142,558 and 199,304

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Solution

The third proportional to 142,558 and 199,304 is: 278,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,558 : 199,304 = 199,304 : x
  2. Step 2: Convert to fraction form
    142,558/199,304 = 199,304/x
  3. Step 3: Cross multiply
    142,558x = 199,304 × 199,304
  4. Step 4: Simplify right side
    142,558x = 39,722,084,416
  5. Step 5: Solve for x
    x = 39,722,084,416/142,558
  6. Step 6: Final answer
    x = 278,638.06

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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.