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Finding the Third Proportional to 488,466 and 699,888

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Solution

The third proportional to 488,466 and 699,888 is: 1,002,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,466 : 699,888 = 699,888 : x
  2. Step 2: Convert to fraction form
    488,466/699,888 = 699,888/x
  3. Step 3: Cross multiply
    488,466x = 699,888 × 699,888
  4. Step 4: Simplify right side
    488,466x = 489,843,212,544
  5. Step 5: Solve for x
    x = 489,843,212,544/488,466
  6. Step 6: Final answer
    x = 1,002,819.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.