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Finding the Third Proportional to 213,040,384 and 458,990,784

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Solution

The third proportional to 213,040,384 and 458,990,784 is: 988,885,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,040,384 : 458,990,784 = 458,990,784 : x
  2. Step 2: Convert to fraction form
    213,040,384/458,990,784 = 458,990,784/x
  3. Step 3: Cross multiply
    213,040,384x = 458,990,784 × 458,990,784
  4. Step 4: Simplify right side
    213,040,384x = 210,672,539,796,934,656
  5. Step 5: Solve for x
    x = 210,672,539,796,934,656/213,040,384
  6. Step 6: Final answer
    x = 988,885,467.82

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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.