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Finding the Third Proportional to 9,749,508 and 21,126,138

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Solution

The third proportional to 9,749,508 and 21,126,138 is: 45,778,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749,508 : 21,126,138 = 21,126,138 : x
  2. Step 2: Convert to fraction form
    9,749,508/21,126,138 = 21,126,138/x
  3. Step 3: Cross multiply
    9,749,508x = 21,126,138 × 21,126,138
  4. Step 4: Simplify right side
    9,749,508x = 446,313,706,795,044
  5. Step 5: Solve for x
    x = 446,313,706,795,044/9,749,508
  6. Step 6: Final answer
    x = 45,778,074.83

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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.