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Finding the Third Proportional to 307,638 and 472,230

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Solution

The third proportional to 307,638 and 472,230 is: 724,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,638 : 472,230 = 472,230 : x
  2. Step 2: Convert to fraction form
    307,638/472,230 = 472,230/x
  3. Step 3: Cross multiply
    307,638x = 472,230 × 472,230
  4. Step 4: Simplify right side
    307,638x = 223,001,172,900
  5. Step 5: Solve for x
    x = 223,001,172,900/307,638
  6. Step 6: Final answer
    x = 724,881.75

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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.