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Finding the Third Proportional to 318,609 and 488,970

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Solution

The third proportional to 318,609 and 488,970 is: 750,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,609 : 488,970 = 488,970 : x
  2. Step 2: Convert to fraction form
    318,609/488,970 = 488,970/x
  3. Step 3: Cross multiply
    318,609x = 488,970 × 488,970
  4. Step 4: Simplify right side
    318,609x = 239,091,660,900
  5. Step 5: Solve for x
    x = 239,091,660,900/318,609
  6. Step 6: Final answer
    x = 750,423.44

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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.