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Finding the Third Proportional to 324,436 and 478,230

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Solution

The third proportional to 324,436 and 478,230 is: 704,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,436 : 478,230 = 478,230 : x
  2. Step 2: Convert to fraction form
    324,436/478,230 = 478,230/x
  3. Step 3: Cross multiply
    324,436x = 478,230 × 478,230
  4. Step 4: Simplify right side
    324,436x = 228,703,932,900
  5. Step 5: Solve for x
    x = 228,703,932,900/324,436
  6. Step 6: Final answer
    x = 704,927.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.