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Finding the Third Proportional to 9,681,920 and 20,857,627

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Solution

The third proportional to 9,681,920 and 20,857,627 is: 44,933,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681,920 : 20,857,627 = 20,857,627 : x
  2. Step 2: Convert to fraction form
    9,681,920/20,857,627 = 20,857,627/x
  3. Step 3: Cross multiply
    9,681,920x = 20,857,627 × 20,857,627
  4. Step 4: Simplify right side
    9,681,920x = 435,040,604,071,129
  5. Step 5: Solve for x
    x = 435,040,604,071,129/9,681,920
  6. Step 6: Final answer
    x = 44,933,298.77

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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.