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Finding the Third Proportional to 54,140,843.25 and 112,743,166.50

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Solution

The third proportional to 54,140,843.25 and 112,743,166.50 is: 234,776,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,140,843.25 : 112,743,166.50 = 112,743,166.50 : x
  2. Step 2: Convert to fraction form
    54,140,843.25/112,743,166.50 = 112,743,166.50/x
  3. Step 3: Cross multiply
    54,140,843.25x = 112,743,166.50 × 112,743,166.50
  4. Step 4: Simplify right side
    54,140,843.25x = 12,711,021,592,446,722
  5. Step 5: Solve for x
    x = 12,711,021,592,446,722/54,140,843.25
  6. Step 6: Final answer
    x = 234,776,941.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.