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Finding the Third Proportional to 378,458 and 805,966

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Solution

The third proportional to 378,458 and 805,966 is: 1,716,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,458 : 805,966 = 805,966 : x
  2. Step 2: Convert to fraction form
    378,458/805,966 = 805,966/x
  3. Step 3: Cross multiply
    378,458x = 805,966 × 805,966
  4. Step 4: Simplify right side
    378,458x = 649,581,193,156
  5. Step 5: Solve for x
    x = 649,581,193,156/378,458
  6. Step 6: Final answer
    x = 1,716,389.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.