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Finding the Third Proportional to 440,322 and 699,768

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Solution

The third proportional to 440,322 and 699,768 is: 1,112,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,322 : 699,768 = 699,768 : x
  2. Step 2: Convert to fraction form
    440,322/699,768 = 699,768/x
  3. Step 3: Cross multiply
    440,322x = 699,768 × 699,768
  4. Step 4: Simplify right side
    440,322x = 489,675,253,824
  5. Step 5: Solve for x
    x = 489,675,253,824/440,322
  6. Step 6: Final answer
    x = 1,112,084.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.