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Finding the Third Proportional to 187,288 and 400,820

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Solution

The third proportional to 187,288 and 400,820 is: 857,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,288 : 400,820 = 400,820 : x
  2. Step 2: Convert to fraction form
    187,288/400,820 = 400,820/x
  3. Step 3: Cross multiply
    187,288x = 400,820 × 400,820
  4. Step 4: Simplify right side
    187,288x = 160,656,672,400
  5. Step 5: Solve for x
    x = 160,656,672,400/187,288
  6. Step 6: Final answer
    x = 857,805.48

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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.