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Finding the Third Proportional to 98,998,384 and 213,162,512

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Solution

The third proportional to 98,998,384 and 213,162,512 is: 458,979,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,998,384 : 213,162,512 = 213,162,512 : x
  2. Step 2: Convert to fraction form
    98,998,384/213,162,512 = 213,162,512/x
  3. Step 3: Cross multiply
    98,998,384x = 213,162,512 × 213,162,512
  4. Step 4: Simplify right side
    98,998,384x = 45,438,256,522,150,144
  5. Step 5: Solve for x
    x = 45,438,256,522,150,144/98,998,384
  6. Step 6: Final answer
    x = 458,979,780.14

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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.