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Finding the Third Proportional to 213,218,649 and 322,452,373.50

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Solution

The third proportional to 213,218,649 and 322,452,373.50 is: 487,647,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,218,649 : 322,452,373.50 = 322,452,373.50 : x
  2. Step 2: Convert to fraction form
    213,218,649/322,452,373.50 = 322,452,373.50/x
  3. Step 3: Cross multiply
    213,218,649x = 322,452,373.50 × 322,452,373.50
  4. Step 4: Simplify right side
    213,218,649x = 103,975,533,175,783,504
  5. Step 5: Solve for x
    x = 103,975,533,175,783,504/213,218,649
  6. Step 6: Final answer
    x = 487,647,462.66

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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.