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Finding the Third Proportional to 318,845 and 488,312

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Solution

The third proportional to 318,845 and 488,312 is: 747,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,845 : 488,312 = 488,312 : x
  2. Step 2: Convert to fraction form
    318,845/488,312 = 488,312/x
  3. Step 3: Cross multiply
    318,845x = 488,312 × 488,312
  4. Step 4: Simplify right side
    318,845x = 238,448,609,344
  5. Step 5: Solve for x
    x = 238,448,609,344/318,845
  6. Step 6: Final answer
    x = 747,851.18

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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.