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Finding the Third Proportional to 4,109,774 and 8,919,880

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Solution

The third proportional to 4,109,774 and 8,919,880 is: 19,359,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,774 : 8,919,880 = 8,919,880 : x
  2. Step 2: Convert to fraction form
    4,109,774/8,919,880 = 8,919,880/x
  3. Step 3: Cross multiply
    4,109,774x = 8,919,880 × 8,919,880
  4. Step 4: Simplify right side
    4,109,774x = 79,564,259,214,400
  5. Step 5: Solve for x
    x = 79,564,259,214,400/4,109,774
  6. Step 6: Final answer
    x = 19,359,765.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.