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Finding the Third Proportional to 307,247 and 447,361

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Solution

The third proportional to 307,247 and 447,361 is: 651,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,247 : 447,361 = 447,361 : x
  2. Step 2: Convert to fraction form
    307,247/447,361 = 447,361/x
  3. Step 3: Cross multiply
    307,247x = 447,361 × 447,361
  4. Step 4: Simplify right side
    307,247x = 200,131,864,321
  5. Step 5: Solve for x
    x = 200,131,864,321/307,247
  6. Step 6: Final answer
    x = 651,371.26

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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.