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Finding the Third Proportional to 42,634,941 and 93,770,992.50

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Solution

The third proportional to 42,634,941 and 93,770,992.50 is: 206,239,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,634,941 : 93,770,992.50 = 93,770,992.50 : x
  2. Step 2: Convert to fraction form
    42,634,941/93,770,992.50 = 93,770,992.50/x
  3. Step 3: Cross multiply
    42,634,941x = 93,770,992.50 × 93,770,992.50
  4. Step 4: Simplify right side
    42,634,941x = 8,792,999,034,435,056
  5. Step 5: Solve for x
    x = 8,792,999,034,435,056/42,634,941
  6. Step 6: Final answer
    x = 206,239,268.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.