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Finding the Third Proportional to 296,800 and 699,919

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Solution

The third proportional to 296,800 and 699,919 is: 1,650,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,800 : 699,919 = 699,919 : x
  2. Step 2: Convert to fraction form
    296,800/699,919 = 699,919/x
  3. Step 3: Cross multiply
    296,800x = 699,919 × 699,919
  4. Step 4: Simplify right side
    296,800x = 489,886,606,561
  5. Step 5: Solve for x
    x = 489,886,606,561/296,800
  6. Step 6: Final answer
    x = 1,650,561.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.