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Finding the Third Proportional to 288,767 and 699,768

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Solution

The third proportional to 288,767 and 699,768 is: 1,695,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,767 : 699,768 = 699,768 : x
  2. Step 2: Convert to fraction form
    288,767/699,768 = 699,768/x
  3. Step 3: Cross multiply
    288,767x = 699,768 × 699,768
  4. Step 4: Simplify right side
    288,767x = 489,675,253,824
  5. Step 5: Solve for x
    x = 489,675,253,824/288,767
  6. Step 6: Final answer
    x = 1,695,745.20

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.