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Finding the Third Proportional to 318,844 and 488,310

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Solution

The third proportional to 318,844 and 488,310 is: 747,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,844 : 488,310 = 488,310 : x
  2. Step 2: Convert to fraction form
    318,844/488,310 = 488,310/x
  3. Step 3: Cross multiply
    318,844x = 488,310 × 488,310
  4. Step 4: Simplify right side
    318,844x = 238,446,656,100
  5. Step 5: Solve for x
    x = 238,446,656,100/318,844
  6. Step 6: Final answer
    x = 747,847.40

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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.