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Finding the Third Proportional to 187,401.94 and 289,861.88

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Solution

The third proportional to 187,401.94 and 289,861.88 is: 448,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,401.94 : 289,861.88 = 289,861.88 : x
  2. Step 2: Convert to fraction form
    187,401.94/289,861.88 = 289,861.88/x
  3. Step 3: Cross multiply
    187,401.94x = 289,861.88 × 289,861.88
  4. Step 4: Simplify right side
    187,401.94x = 84,019,906,578.52
  5. Step 5: Solve for x
    x = 84,019,906,578.52/187,401.94
  6. Step 6: Final answer
    x = 448,340.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.