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Finding the Third Proportional to 10,198,303 and 21,912,277

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Solution

The third proportional to 10,198,303 and 21,912,277 is: 47,081,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198,303 : 21,912,277 = 21,912,277 : x
  2. Step 2: Convert to fraction form
    10,198,303/21,912,277 = 21,912,277/x
  3. Step 3: Cross multiply
    10,198,303x = 21,912,277 × 21,912,277
  4. Step 4: Simplify right side
    10,198,303x = 480,147,883,324,729
  5. Step 5: Solve for x
    x = 480,147,883,324,729/10,198,303
  6. Step 6: Final answer
    x = 47,081,154.91

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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.