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Finding the Third Proportional to 113,978,745 and 248,860,815.75

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Solution

The third proportional to 113,978,745 and 248,860,815.75 is: 543,361,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,978,745 : 248,860,815.75 = 248,860,815.75 : x
  2. Step 2: Convert to fraction form
    113,978,745/248,860,815.75 = 248,860,815.75/x
  3. Step 3: Cross multiply
    113,978,745x = 248,860,815.75 × 248,860,815.75
  4. Step 4: Simplify right side
    113,978,745x = 61,931,705,615,755,448
  5. Step 5: Solve for x
    x = 61,931,705,615,755,448/113,978,745
  6. Step 6: Final answer
    x = 543,361,883.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.