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Finding the Third Proportional to 89,364,794 and 138,945,039

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Solution

The third proportional to 89,364,794 and 138,945,039 is: 216,032,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,364,794 : 138,945,039 = 138,945,039 : x
  2. Step 2: Convert to fraction form
    89,364,794/138,945,039 = 138,945,039/x
  3. Step 3: Cross multiply
    89,364,794x = 138,945,039 × 138,945,039
  4. Step 4: Simplify right side
    89,364,794x = 19,305,723,862,711,520
  5. Step 5: Solve for x
    x = 19,305,723,862,711,520/89,364,794
  6. Step 6: Final answer
    x = 216,032,768.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.