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Finding the Third Proportional to 296,579 and 699,817

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Solution

The third proportional to 296,579 and 699,817 is: 1,651,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,579 : 699,817 = 699,817 : x
  2. Step 2: Convert to fraction form
    296,579/699,817 = 699,817/x
  3. Step 3: Cross multiply
    296,579x = 699,817 × 699,817
  4. Step 4: Simplify right side
    296,579x = 489,743,833,489
  5. Step 5: Solve for x
    x = 489,743,833,489/296,579
  6. Step 6: Final answer
    x = 1,651,309.88

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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.