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Finding the Third Proportional to 389,221 and 497,343

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Solution

The third proportional to 389,221 and 497,343 is: 635,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,221 : 497,343 = 497,343 : x
  2. Step 2: Convert to fraction form
    389,221/497,343 = 497,343/x
  3. Step 3: Cross multiply
    389,221x = 497,343 × 497,343
  4. Step 4: Simplify right side
    389,221x = 247,350,059,649
  5. Step 5: Solve for x
    x = 247,350,059,649/389,221
  6. Step 6: Final answer
    x = 635,500.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.