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Finding the Third Proportional to 187,163 and 287,974

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Solution

The third proportional to 187,163 and 287,974 is: 443,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,163 : 287,974 = 287,974 : x
  2. Step 2: Convert to fraction form
    187,163/287,974 = 287,974/x
  3. Step 3: Cross multiply
    187,163x = 287,974 × 287,974
  4. Step 4: Simplify right side
    187,163x = 82,929,024,676
  5. Step 5: Solve for x
    x = 82,929,024,676/187,163
  6. Step 6: Final answer
    x = 443,084.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.