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Finding the Third Proportional to 213,613,448 and 438,551,180

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Solution

The third proportional to 213,613,448 and 438,551,180 is: 900,351,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613,448 : 438,551,180 = 438,551,180 : x
  2. Step 2: Convert to fraction form
    213,613,448/438,551,180 = 438,551,180/x
  3. Step 3: Cross multiply
    213,613,448x = 438,551,180 × 438,551,180
  4. Step 4: Simplify right side
    213,613,448x = 192,327,137,479,392,384
  5. Step 5: Solve for x
    x = 192,327,137,479,392,384/213,613,448
  6. Step 6: Final answer
    x = 900,351,261.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.