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Finding the Third Proportional to 9,638,517 and 20,271,021

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Solution

The third proportional to 9,638,517 and 20,271,021 is: 42,632,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638,517 : 20,271,021 = 20,271,021 : x
  2. Step 2: Convert to fraction form
    9,638,517/20,271,021 = 20,271,021/x
  3. Step 3: Cross multiply
    9,638,517x = 20,271,021 × 20,271,021
  4. Step 4: Simplify right side
    9,638,517x = 410,914,292,382,441
  5. Step 5: Solve for x
    x = 410,914,292,382,441/9,638,517
  6. Step 6: Final answer
    x = 42,632,522.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.