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Finding the Third Proportional to 331,289 and 503,091

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Solution

The third proportional to 331,289 and 503,091 is: 763,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,289 : 503,091 = 503,091 : x
  2. Step 2: Convert to fraction form
    331,289/503,091 = 503,091/x
  3. Step 3: Cross multiply
    331,289x = 503,091 × 503,091
  4. Step 4: Simplify right side
    331,289x = 253,100,554,281
  5. Step 5: Solve for x
    x = 253,100,554,281/331,289
  6. Step 6: Final answer
    x = 763,987.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.