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Finding the Third Proportional to 213,218,655 and 322,452,384

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Solution

The third proportional to 213,218,655 and 322,452,384 is: 487,647,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,218,655 : 322,452,384 = 322,452,384 : x
  2. Step 2: Convert to fraction form
    213,218,655/322,452,384 = 322,452,384/x
  3. Step 3: Cross multiply
    213,218,655x = 322,452,384 × 322,452,384
  4. Step 4: Simplify right side
    213,218,655x = 103,975,539,947,283,456
  5. Step 5: Solve for x
    x = 103,975,539,947,283,456/213,218,655
  6. Step 6: Final answer
    x = 487,647,480.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.