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Finding the Third Proportional to 231,222,633 and 539,538,121.50

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Solution

The third proportional to 231,222,633 and 539,538,121.50 is: 1,258,965,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,222,633 : 539,538,121.50 = 539,538,121.50 : x
  2. Step 2: Convert to fraction form
    231,222,633/539,538,121.50 = 539,538,121.50/x
  3. Step 3: Cross multiply
    231,222,633x = 539,538,121.50 × 539,538,121.50
  4. Step 4: Simplify right side
    231,222,633x = 291,101,384,551,748,736
  5. Step 5: Solve for x
    x = 291,101,384,551,748,736/231,222,633
  6. Step 6: Final answer
    x = 1,258,965,788.84

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.