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Finding the Third Proportional to 142,567 and 199,312

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Solution

The third proportional to 142,567 and 199,312 is: 278,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,567 : 199,312 = 199,312 : x
  2. Step 2: Convert to fraction form
    142,567/199,312 = 199,312/x
  3. Step 3: Cross multiply
    142,567x = 199,312 × 199,312
  4. Step 4: Simplify right side
    142,567x = 39,725,273,344
  5. Step 5: Solve for x
    x = 39,725,273,344/142,567
  6. Step 6: Final answer
    x = 278,642.84

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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.