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Finding the Third Proportional to 10,226,100 and 22,282,728

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Solution

The third proportional to 10,226,100 and 22,282,728 is: 48,554,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,100 : 22,282,728 = 22,282,728 : x
  2. Step 2: Convert to fraction form
    10,226,100/22,282,728 = 22,282,728/x
  3. Step 3: Cross multiply
    10,226,100x = 22,282,728 × 22,282,728
  4. Step 4: Simplify right side
    10,226,100x = 496,519,967,121,984
  5. Step 5: Solve for x
    x = 496,519,967,121,984/10,226,100
  6. Step 6: Final answer
    x = 48,554,186.55

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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.