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Finding the Third Proportional to 451,947 and 699,798

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Solution

The third proportional to 451,947 and 699,798 is: 1,083,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,947 : 699,798 = 699,798 : x
  2. Step 2: Convert to fraction form
    451,947/699,798 = 699,798/x
  3. Step 3: Cross multiply
    451,947x = 699,798 × 699,798
  4. Step 4: Simplify right side
    451,947x = 489,717,240,804
  5. Step 5: Solve for x
    x = 489,717,240,804/451,947
  6. Step 6: Final answer
    x = 1,083,572.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.