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Finding the Third Proportional to 9,902,494 and 21,269,220

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Solution

The third proportional to 9,902,494 and 21,269,220 is: 45,683,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902,494 : 21,269,220 = 21,269,220 : x
  2. Step 2: Convert to fraction form
    9,902,494/21,269,220 = 21,269,220/x
  3. Step 3: Cross multiply
    9,902,494x = 21,269,220 × 21,269,220
  4. Step 4: Simplify right side
    9,902,494x = 452,379,719,408,400
  5. Step 5: Solve for x
    x = 452,379,719,408,400/9,902,494
  6. Step 6: Final answer
    x = 45,683,412.62

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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.