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Finding the Third Proportional to 318,849 and 488,319

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Solution

The third proportional to 318,849 and 488,319 is: 747,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,849 : 488,319 = 488,319 : x
  2. Step 2: Convert to fraction form
    318,849/488,319 = 488,319/x
  3. Step 3: Cross multiply
    318,849x = 488,319 × 488,319
  4. Step 4: Simplify right side
    318,849x = 238,455,445,761
  5. Step 5: Solve for x
    x = 238,455,445,761/318,849
  6. Step 6: Final answer
    x = 747,863.24

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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.