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Finding the Third Proportional to 9,749,525 and 21,126,172

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Solution

The third proportional to 9,749,525 and 21,126,172 is: 45,778,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749,525 : 21,126,172 = 21,126,172 : x
  2. Step 2: Convert to fraction form
    9,749,525/21,126,172 = 21,126,172/x
  3. Step 3: Cross multiply
    9,749,525x = 21,126,172 × 21,126,172
  4. Step 4: Simplify right side
    9,749,525x = 446,315,143,373,584
  5. Step 5: Solve for x
    x = 446,315,143,373,584/9,749,525
  6. Step 6: Final answer
    x = 45,778,142.36

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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.