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Finding the Third Proportional to 213,613,856 and 438,551,936

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Solution

The third proportional to 213,613,856 and 438,551,936 is: 900,352,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613,856 : 438,551,936 = 438,551,936 : x
  2. Step 2: Convert to fraction form
    213,613,856/438,551,936 = 438,551,936/x
  3. Step 3: Cross multiply
    213,613,856x = 438,551,936 × 438,551,936
  4. Step 4: Simplify right side
    213,613,856x = 192,327,800,569,348,096
  5. Step 5: Solve for x
    x = 192,327,800,569,348,096/213,613,856
  6. Step 6: Final answer
    x = 900,352,646.46

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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.