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Finding the Third Proportional to 372,938 and 818,458

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Solution

The third proportional to 372,938 and 818,458 is: 1,796,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,938 : 818,458 = 818,458 : x
  2. Step 2: Convert to fraction form
    372,938/818,458 = 818,458/x
  3. Step 3: Cross multiply
    372,938x = 818,458 × 818,458
  4. Step 4: Simplify right side
    372,938x = 669,873,497,764
  5. Step 5: Solve for x
    x = 669,873,497,764/372,938
  6. Step 6: Final answer
    x = 1,796,206.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.