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Finding the Third Proportional to 307,242 and 447,354

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Solution

The third proportional to 307,242 and 447,354 is: 651,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,242 : 447,354 = 447,354 : x
  2. Step 2: Convert to fraction form
    307,242/447,354 = 447,354/x
  3. Step 3: Cross multiply
    307,242x = 447,354 × 447,354
  4. Step 4: Simplify right side
    307,242x = 200,125,601,316
  5. Step 5: Solve for x
    x = 200,125,601,316/307,242
  6. Step 6: Final answer
    x = 651,361.47

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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.