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Finding the Third Proportional to 9,681,915 and 20,857,617

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Solution

The third proportional to 9,681,915 and 20,857,617 is: 44,933,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681,915 : 20,857,617 = 20,857,617 : x
  2. Step 2: Convert to fraction form
    9,681,915/20,857,617 = 20,857,617/x
  3. Step 3: Cross multiply
    9,681,915x = 20,857,617 × 20,857,617
  4. Step 4: Simplify right side
    9,681,915x = 435,040,186,918,689
  5. Step 5: Solve for x
    x = 435,040,186,918,689/9,681,915
  6. Step 6: Final answer
    x = 44,933,278.89

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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.