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Finding the Third Proportional to 380,887 and 819,894

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Solution

The third proportional to 380,887 and 819,894 is: 1,764,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,887 : 819,894 = 819,894 : x
  2. Step 2: Convert to fraction form
    380,887/819,894 = 819,894/x
  3. Step 3: Cross multiply
    380,887x = 819,894 × 819,894
  4. Step 4: Simplify right side
    380,887x = 672,226,171,236
  5. Step 5: Solve for x
    x = 672,226,171,236/380,887
  6. Step 6: Final answer
    x = 1,764,896.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.