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Finding the Third Proportional to 9,638,720 and 20,770,368

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Solution

The third proportional to 9,638,720 and 20,770,368 is: 44,757,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638,720 : 20,770,368 = 20,770,368 : x
  2. Step 2: Convert to fraction form
    9,638,720/20,770,368 = 20,770,368/x
  3. Step 3: Cross multiply
    9,638,720x = 20,770,368 × 20,770,368
  4. Step 4: Simplify right side
    9,638,720x = 431,408,186,855,424
  5. Step 5: Solve for x
    x = 431,408,186,855,424/9,638,720
  6. Step 6: Final answer
    x = 44,757,829.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.