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Finding the Third Proportional to 231,791,263 and 491,217,457

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Solution

The third proportional to 231,791,263 and 491,217,457 is: 1,040,999,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,791,263 : 491,217,457 = 491,217,457 : x
  2. Step 2: Convert to fraction form
    231,791,263/491,217,457 = 491,217,457/x
  3. Step 3: Cross multiply
    231,791,263x = 491,217,457 × 491,217,457
  4. Step 4: Simplify right side
    231,791,263x = 241,294,590,061,546,848
  5. Step 5: Solve for x
    x = 241,294,590,061,546,848/231,791,263
  6. Step 6: Final answer
    x = 1,040,999,505.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.