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Finding the Third Proportional to 274,378.50 and 409,502.25

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Solution

The third proportional to 274,378.50 and 409,502.25 is: 611,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,378.50 : 409,502.25 = 409,502.25 : x
  2. Step 2: Convert to fraction form
    274,378.50/409,502.25 = 409,502.25/x
  3. Step 3: Cross multiply
    274,378.50x = 409,502.25 × 409,502.25
  4. Step 4: Simplify right side
    274,378.50x = 167,692,092,755.06
  5. Step 5: Solve for x
    x = 167,692,092,755.06/274,378.50
  6. Step 6: Final answer
    x = 611,170.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.