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Finding the Third Proportional to 149,262.75 and 315,372.38

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Solution

The third proportional to 149,262.75 and 315,372.38 is: 666,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,262.75 : 315,372.38 = 315,372.38 : x
  2. Step 2: Convert to fraction form
    149,262.75/315,372.38 = 315,372.38/x
  3. Step 3: Cross multiply
    149,262.75x = 315,372.38 × 315,372.38
  4. Step 4: Simplify right side
    149,262.75x = 99,459,734,913.14
  5. Step 5: Solve for x
    x = 99,459,734,913.14/149,262.75
  6. Step 6: Final answer
    x = 666,339.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.