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Finding the Third Proportional to 309,472 and 669,200

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Solution

The third proportional to 309,472 and 669,200 is: 1,447,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,472 : 669,200 = 669,200 : x
  2. Step 2: Convert to fraction form
    309,472/669,200 = 669,200/x
  3. Step 3: Cross multiply
    309,472x = 669,200 × 669,200
  4. Step 4: Simplify right side
    309,472x = 447,828,640,000
  5. Step 5: Solve for x
    x = 447,828,640,000/309,472
  6. Step 6: Final answer
    x = 1,447,073.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.