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Finding the Third Proportional to 9,420,900 and 20,406,881.25

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Solution

The third proportional to 9,420,900 and 20,406,881.25 is: 44,203,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420,900 : 20,406,881.25 = 20,406,881.25 : x
  2. Step 2: Convert to fraction form
    9,420,900/20,406,881.25 = 20,406,881.25/x
  3. Step 3: Cross multiply
    9,420,900x = 20,406,881.25 × 20,406,881.25
  4. Step 4: Simplify right side
    9,420,900x = 416,440,802,351,601.56
  5. Step 5: Solve for x
    x = 416,440,802,351,601.56/9,420,900
  6. Step 6: Final answer
    x = 44,203,929.81

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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.