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Finding the Third Proportional to 307,432 and 481,212

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Solution

The third proportional to 307,432 and 481,212 is: 753,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,432 : 481,212 = 481,212 : x
  2. Step 2: Convert to fraction form
    307,432/481,212 = 481,212/x
  3. Step 3: Cross multiply
    307,432x = 481,212 × 481,212
  4. Step 4: Simplify right side
    307,432x = 231,564,988,944
  5. Step 5: Solve for x
    x = 231,564,988,944/307,432
  6. Step 6: Final answer
    x = 753,223.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.