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Finding the Third Proportional to 148,269,453 and 308,810,911.50

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Solution

The third proportional to 148,269,453 and 308,810,911.50 is: 643,181,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,269,453 : 308,810,911.50 = 308,810,911.50 : x
  2. Step 2: Convert to fraction form
    148,269,453/308,810,911.50 = 308,810,911.50/x
  3. Step 3: Cross multiply
    148,269,453x = 308,810,911.50 × 308,810,911.50
  4. Step 4: Simplify right side
    148,269,453x = 95,364,179,061,460,832
  5. Step 5: Solve for x
    x = 95,364,179,061,460,832/148,269,453
  6. Step 6: Final answer
    x = 643,181,566.61

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Why These Related Problems?

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