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Finding the Third Proportional to 9,957,330 and 21,724,239

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Solution

The third proportional to 9,957,330 and 21,724,239 is: 47,396,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957,330 : 21,724,239 = 21,724,239 : x
  2. Step 2: Convert to fraction form
    9,957,330/21,724,239 = 21,724,239/x
  3. Step 3: Cross multiply
    9,957,330x = 21,724,239 × 21,724,239
  4. Step 4: Simplify right side
    9,957,330x = 471,942,560,129,121
  5. Step 5: Solve for x
    x = 471,942,560,129,121/9,957,330
  6. Step 6: Final answer
    x = 47,396,496.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.