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Finding the Third Proportional to 204,376.50 and 318,974.63

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Solution

The third proportional to 204,376.50 and 318,974.63 is: 497,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,376.50 : 318,974.63 = 318,974.63 : x
  2. Step 2: Convert to fraction form
    204,376.50/318,974.63 = 318,974.63/x
  3. Step 3: Cross multiply
    204,376.50x = 318,974.63 × 318,974.63
  4. Step 4: Simplify right side
    204,376.50x = 101,744,811,393.89
  5. Step 5: Solve for x
    x = 101,744,811,393.89/204,376.50
  6. Step 6: Final answer
    x = 497,830.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.