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Finding the Third Proportional to 274,378.13 and 409,501.69

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Solution

The third proportional to 274,378.13 and 409,501.69 is: 611,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,378.13 : 409,501.69 = 409,501.69 : x
  2. Step 2: Convert to fraction form
    274,378.13/409,501.69 = 409,501.69/x
  3. Step 3: Cross multiply
    274,378.13x = 409,501.69 × 409,501.69
  4. Step 4: Simplify right side
    274,378.13x = 167,691,632,065.35
  5. Step 5: Solve for x
    x = 167,691,632,065.35/274,378.13
  6. Step 6: Final answer
    x = 611,169.83

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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.