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Finding the Third Proportional to 296,780 and 699,880

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Solution

The third proportional to 296,780 and 699,880 is: 1,650,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,780 : 699,880 = 699,880 : x
  2. Step 2: Convert to fraction form
    296,780/699,880 = 699,880/x
  3. Step 3: Cross multiply
    296,780x = 699,880 × 699,880
  4. Step 4: Simplify right side
    296,780x = 489,832,014,400
  5. Step 5: Solve for x
    x = 489,832,014,400/296,780
  6. Step 6: Final answer
    x = 1,650,488.63

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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.