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Finding the Third Proportional to 12,377,640 and 18,589,842

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Solution

The third proportional to 12,377,640 and 18,589,842 is: 27,919,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377,640 : 18,589,842 = 18,589,842 : x
  2. Step 2: Convert to fraction form
    12,377,640/18,589,842 = 18,589,842/x
  3. Step 3: Cross multiply
    12,377,640x = 18,589,842 × 18,589,842
  4. Step 4: Simplify right side
    12,377,640x = 345,582,225,584,964
  5. Step 5: Solve for x
    x = 345,582,225,584,964/12,377,640
  6. Step 6: Final answer
    x = 27,919,880.17

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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.