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Finding the Third Proportional to 213,613,449 and 438,551,184

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Solution

The third proportional to 213,613,449 and 438,551,184 is: 900,351,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613,449 : 438,551,184 = 438,551,184 : x
  2. Step 2: Convert to fraction form
    213,613,449/438,551,184 = 438,551,184/x
  3. Step 3: Cross multiply
    213,613,449x = 438,551,184 × 438,551,184
  4. Step 4: Simplify right side
    213,613,449x = 192,327,140,987,801,856
  5. Step 5: Solve for x
    x = 192,327,140,987,801,856/213,613,449
  6. Step 6: Final answer
    x = 900,351,274.17

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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.