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Finding the Third Proportional to 149,110.88 and 318,314.81

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Solution

The third proportional to 149,110.88 and 318,314.81 is: 679,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,110.88 : 318,314.81 = 318,314.81 : x
  2. Step 2: Convert to fraction form
    149,110.88/318,314.81 = 318,314.81/x
  3. Step 3: Cross multiply
    149,110.88x = 318,314.81 × 318,314.81
  4. Step 4: Simplify right side
    149,110.88x = 101,324,319,856.91
  5. Step 5: Solve for x
    x = 101,324,319,856.91/149,110.88
  6. Step 6: Final answer
    x = 679,523.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.