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Finding the Third Proportional to 8,972,109 and 19,681,227

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Solution

The third proportional to 8,972,109 and 19,681,227 is: 43,172,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,109 : 19,681,227 = 19,681,227 : x
  2. Step 2: Convert to fraction form
    8,972,109/19,681,227 = 19,681,227/x
  3. Step 3: Cross multiply
    8,972,109x = 19,681,227 × 19,681,227
  4. Step 4: Simplify right side
    8,972,109x = 387,350,696,225,529
  5. Step 5: Solve for x
    x = 387,350,696,225,529/8,972,109
  6. Step 6: Final answer
    x = 43,172,758.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.