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Finding the Third Proportional to 109,840,680 and 236,691,936

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Solution

The third proportional to 109,840,680 and 236,691,936 is: 510,039,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,840,680 : 236,691,936 = 236,691,936 : x
  2. Step 2: Convert to fraction form
    109,840,680/236,691,936 = 236,691,936/x
  3. Step 3: Cross multiply
    109,840,680x = 236,691,936 × 236,691,936
  4. Step 4: Simplify right side
    109,840,680x = 56,023,072,567,428,096
  5. Step 5: Solve for x
    x = 56,023,072,567,428,096/109,840,680
  6. Step 6: Final answer
    x = 510,039,382.20

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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.