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Finding the Third Proportional to 309,680 and 452,576

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Solution

The third proportional to 309,680 and 452,576 is: 661,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,680 : 452,576 = 452,576 : x
  2. Step 2: Convert to fraction form
    309,680/452,576 = 452,576/x
  3. Step 3: Cross multiply
    309,680x = 452,576 × 452,576
  4. Step 4: Simplify right side
    309,680x = 204,825,035,776
  5. Step 5: Solve for x
    x = 204,825,035,776/309,680
  6. Step 6: Final answer
    x = 661,408.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.