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Finding the Third Proportional to 318,912.75 and 489,350.25

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Solution

The third proportional to 318,912.75 and 489,350.25 is: 750,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,912.75 : 489,350.25 = 489,350.25 : x
  2. Step 2: Convert to fraction form
    318,912.75/489,350.25 = 489,350.25/x
  3. Step 3: Cross multiply
    318,912.75x = 489,350.25 × 489,350.25
  4. Step 4: Simplify right side
    318,912.75x = 239,463,667,175.06
  5. Step 5: Solve for x
    x = 239,463,667,175.06/318,912.75
  6. Step 6: Final answer
    x = 750,875.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.