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Finding the Third Proportional to 128,221 and 296,809

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Solution

The third proportional to 128,221 and 296,809 is: 687,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,221 : 296,809 = 296,809 : x
  2. Step 2: Convert to fraction form
    128,221/296,809 = 296,809/x
  3. Step 3: Cross multiply
    128,221x = 296,809 × 296,809
  4. Step 4: Simplify right side
    128,221x = 88,095,582,481
  5. Step 5: Solve for x
    x = 88,095,582,481/128,221
  6. Step 6: Final answer
    x = 687,060.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.