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Finding the Third Proportional to 12,109,126 and 18,214,719

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Solution

The third proportional to 12,109,126 and 18,214,719 is: 27,398,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109,126 : 18,214,719 = 18,214,719 : x
  2. Step 2: Convert to fraction form
    12,109,126/18,214,719 = 18,214,719/x
  3. Step 3: Cross multiply
    12,109,126x = 18,214,719 × 18,214,719
  4. Step 4: Simplify right side
    12,109,126x = 331,775,988,248,961
  5. Step 5: Solve for x
    x = 331,775,988,248,961/12,109,126
  6. Step 6: Final answer
    x = 27,398,838.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.