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Finding the Third Proportional to 394,472 and 843,618

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Solution

The third proportional to 394,472 and 843,618 is: 1,804,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,472 : 843,618 = 843,618 : x
  2. Step 2: Convert to fraction form
    394,472/843,618 = 843,618/x
  3. Step 3: Cross multiply
    394,472x = 843,618 × 843,618
  4. Step 4: Simplify right side
    394,472x = 711,691,329,924
  5. Step 5: Solve for x
    x = 711,691,329,924/394,472
  6. Step 6: Final answer
    x = 1,804,161.84

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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.