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Finding the Third Proportional to 187,281 and 400,806

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Solution

The third proportional to 187,281 and 400,806 is: 857,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,281 : 400,806 = 400,806 : x
  2. Step 2: Convert to fraction form
    187,281/400,806 = 400,806/x
  3. Step 3: Cross multiply
    187,281x = 400,806 × 400,806
  4. Step 4: Simplify right side
    187,281x = 160,645,449,636
  5. Step 5: Solve for x
    x = 160,645,449,636/187,281
  6. Step 6: Final answer
    x = 857,777.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.