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Finding the Third Proportional to 124,766,992 and 278,221,916

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Solution

The third proportional to 124,766,992 and 278,221,916 is: 620,415,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,766,992 : 278,221,916 = 278,221,916 : x
  2. Step 2: Convert to fraction form
    124,766,992/278,221,916 = 278,221,916/x
  3. Step 3: Cross multiply
    124,766,992x = 278,221,916 × 278,221,916
  4. Step 4: Simplify right side
    124,766,992x = 77,407,434,542,711,056
  5. Step 5: Solve for x
    x = 77,407,434,542,711,056/124,766,992
  6. Step 6: Final answer
    x = 620,415,971.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.