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Finding the Third Proportional to 141,154 and 200,643

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Solution

The third proportional to 141,154 and 200,643 is: 285,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,154 : 200,643 = 200,643 : x
  2. Step 2: Convert to fraction form
    141,154/200,643 = 200,643/x
  3. Step 3: Cross multiply
    141,154x = 200,643 × 200,643
  4. Step 4: Simplify right side
    141,154x = 40,257,613,449
  5. Step 5: Solve for x
    x = 40,257,613,449/141,154
  6. Step 6: Final answer
    x = 285,203.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.