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Finding the Third Proportional to 305,847 and 472,412

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Solution

The third proportional to 305,847 and 472,412 is: 729,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,847 : 472,412 = 472,412 : x
  2. Step 2: Convert to fraction form
    305,847/472,412 = 472,412/x
  3. Step 3: Cross multiply
    305,847x = 472,412 × 472,412
  4. Step 4: Simplify right side
    305,847x = 223,173,097,744
  5. Step 5: Solve for x
    x = 223,173,097,744/305,847
  6. Step 6: Final answer
    x = 729,688.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.