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Finding the Third Proportional to 142,556 and 199,301

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Solution

The third proportional to 142,556 and 199,301 is: 278,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,556 : 199,301 = 199,301 : x
  2. Step 2: Convert to fraction form
    142,556/199,301 = 199,301/x
  3. Step 3: Cross multiply
    142,556x = 199,301 × 199,301
  4. Step 4: Simplify right side
    142,556x = 39,720,888,601
  5. Step 5: Solve for x
    x = 39,720,888,601/142,556
  6. Step 6: Final answer
    x = 278,633.58

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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.