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Finding the Third Proportional to 386,974 and 826,918

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Solution

The third proportional to 386,974 and 826,918 is: 1,767,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,974 : 826,918 = 826,918 : x
  2. Step 2: Convert to fraction form
    386,974/826,918 = 826,918/x
  3. Step 3: Cross multiply
    386,974x = 826,918 × 826,918
  4. Step 4: Simplify right side
    386,974x = 683,793,378,724
  5. Step 5: Solve for x
    x = 683,793,378,724/386,974
  6. Step 6: Final answer
    x = 1,767,026.67

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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.