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Finding the Third Proportional to 318,822.75 and 488,278.13

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Solution

The third proportional to 318,822.75 and 488,278.13 is: 747,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,822.75 : 488,278.13 = 488,278.13 : x
  2. Step 2: Convert to fraction form
    318,822.75/488,278.13 = 488,278.13/x
  3. Step 3: Cross multiply
    318,822.75x = 488,278.13 × 488,278.13
  4. Step 4: Simplify right side
    318,822.75x = 238,415,527,353.52
  5. Step 5: Solve for x
    x = 238,415,527,353.52/318,822.75
  6. Step 6: Final answer
    x = 747,799.61

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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.