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Finding the Third Proportional to 247,985.30 and 381,665.67

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Solution

The third proportional to 247,985.30 and 381,665.67 is: 587,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,985.30 : 381,665.67 = 381,665.67 : x
  2. Step 2: Convert to fraction form
    247,985.30/381,665.67 = 381,665.67/x
  3. Step 3: Cross multiply
    247,985.30x = 381,665.67 × 381,665.67
  4. Step 4: Simplify right side
    247,985.30x = 145,668,685,087.80
  5. Step 5: Solve for x
    x = 145,668,685,087.80/247,985.30
  6. Step 6: Final answer
    x = 587,408.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.