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Finding the Third Proportional to 393,770 and 859,711

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Solution

The third proportional to 393,770 and 859,711 is: 1,876,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,770 : 859,711 = 859,711 : x
  2. Step 2: Convert to fraction form
    393,770/859,711 = 859,711/x
  3. Step 3: Cross multiply
    393,770x = 859,711 × 859,711
  4. Step 4: Simplify right side
    393,770x = 739,103,003,521
  5. Step 5: Solve for x
    x = 739,103,003,521/393,770
  6. Step 6: Final answer
    x = 1,876,991.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.