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Finding the Third Proportional to 383,110 and 812,919

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Solution

The third proportional to 383,110 and 812,919 is: 1,724,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,110 : 812,919 = 812,919 : x
  2. Step 2: Convert to fraction form
    383,110/812,919 = 812,919/x
  3. Step 3: Cross multiply
    383,110x = 812,919 × 812,919
  4. Step 4: Simplify right side
    383,110x = 660,837,300,561
  5. Step 5: Solve for x
    x = 660,837,300,561/383,110
  6. Step 6: Final answer
    x = 1,724,928.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.