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Finding the Third Proportional to 307,800 and 472,797

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Solution

The third proportional to 307,800 and 472,797 is: 726,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,800 : 472,797 = 472,797 : x
  2. Step 2: Convert to fraction form
    307,800/472,797 = 472,797/x
  3. Step 3: Cross multiply
    307,800x = 472,797 × 472,797
  4. Step 4: Simplify right side
    307,800x = 223,537,003,209
  5. Step 5: Solve for x
    x = 223,537,003,209/307,800
  6. Step 6: Final answer
    x = 726,241.08

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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.