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Finding the Third Proportional to 393,769 and 843,473

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Solution

The third proportional to 393,769 and 843,473 is: 1,806,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,769 : 843,473 = 843,473 : x
  2. Step 2: Convert to fraction form
    393,769/843,473 = 843,473/x
  3. Step 3: Cross multiply
    393,769x = 843,473 × 843,473
  4. Step 4: Simplify right side
    393,769x = 711,446,701,729
  5. Step 5: Solve for x
    x = 711,446,701,729/393,769
  6. Step 6: Final answer
    x = 1,806,761.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.