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Finding the Third Proportional to 440,107 and 699,533

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Solution

The third proportional to 440,107 and 699,533 is: 1,111,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,107 : 699,533 = 699,533 : x
  2. Step 2: Convert to fraction form
    440,107/699,533 = 699,533/x
  3. Step 3: Cross multiply
    440,107x = 699,533 × 699,533
  4. Step 4: Simplify right side
    440,107x = 489,346,418,089
  5. Step 5: Solve for x
    x = 489,346,418,089/440,107
  6. Step 6: Final answer
    x = 1,111,880.56

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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.