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Finding the Third Proportional to 10,309,746 and 20,359,239

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Solution

The third proportional to 10,309,746 and 20,359,239 is: 40,204,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309,746 : 20,359,239 = 20,359,239 : x
  2. Step 2: Convert to fraction form
    10,309,746/20,359,239 = 20,359,239/x
  3. Step 3: Cross multiply
    10,309,746x = 20,359,239 × 20,359,239
  4. Step 4: Simplify right side
    10,309,746x = 414,498,612,659,121
  5. Step 5: Solve for x
    x = 414,498,612,659,121/10,309,746
  6. Step 6: Final answer
    x = 40,204,541.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.