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Finding the Third Proportional to 318,919.50 and 479,821.50

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Solution

The third proportional to 318,919.50 and 479,821.50 is: 721,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,919.50 : 479,821.50 = 479,821.50 : x
  2. Step 2: Convert to fraction form
    318,919.50/479,821.50 = 479,821.50/x
  3. Step 3: Cross multiply
    318,919.50x = 479,821.50 × 479,821.50
  4. Step 4: Simplify right side
    318,919.50x = 230,228,671,862.25
  5. Step 5: Solve for x
    x = 230,228,671,862.25/318,919.50
  6. Step 6: Final answer
    x = 721,902.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.