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Finding the Third Proportional to 142,572 and 199,317

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Solution

The third proportional to 142,572 and 199,317 is: 278,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572 : 199,317 = 199,317 : x
  2. Step 2: Convert to fraction form
    142,572/199,317 = 199,317/x
  3. Step 3: Cross multiply
    142,572x = 199,317 × 199,317
  4. Step 4: Simplify right side
    142,572x = 39,727,266,489
  5. Step 5: Solve for x
    x = 39,727,266,489/142,572
  6. Step 6: Final answer
    x = 278,647.04

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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.