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Finding the Third Proportional to 7,813,780 and 16,890,834

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Solution

The third proportional to 7,813,780 and 16,890,834 is: 36,512,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813,780 : 16,890,834 = 16,890,834 : x
  2. Step 2: Convert to fraction form
    7,813,780/16,890,834 = 16,890,834/x
  3. Step 3: Cross multiply
    7,813,780x = 16,890,834 × 16,890,834
  4. Step 4: Simplify right side
    7,813,780x = 285,300,273,215,556
  5. Step 5: Solve for x
    x = 285,300,273,215,556/7,813,780
  6. Step 6: Final answer
    x = 36,512,452.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.