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Finding the Third Proportional to 490,401 and 749,857.50

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Solution

The third proportional to 490,401 and 749,857.50 is: 1,146,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,401 : 749,857.50 = 749,857.50 : x
  2. Step 2: Convert to fraction form
    490,401/749,857.50 = 749,857.50/x
  3. Step 3: Cross multiply
    490,401x = 749,857.50 × 749,857.50
  4. Step 4: Simplify right side
    490,401x = 562,286,270,306.25
  5. Step 5: Solve for x
    x = 562,286,270,306.25/490,401
  6. Step 6: Final answer
    x = 1,146,584.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.