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Finding the Third Proportional to 231,791,278 and 491,217,488

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Solution

The third proportional to 231,791,278 and 491,217,488 is: 1,040,999,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,791,278 : 491,217,488 = 491,217,488 : x
  2. Step 2: Convert to fraction form
    231,791,278/491,217,488 = 491,217,488/x
  3. Step 3: Cross multiply
    231,791,278x = 491,217,488 × 491,217,488
  4. Step 4: Simplify right side
    231,791,278x = 241,294,620,517,030,144
  5. Step 5: Solve for x
    x = 241,294,620,517,030,144/231,791,278
  6. Step 6: Final answer
    x = 1,040,999,569.09

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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.