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Finding the Third Proportional to 331,303 and 727,691

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Solution

The third proportional to 331,303 and 727,691 is: 1,598,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,303 : 727,691 = 727,691 : x
  2. Step 2: Convert to fraction form
    331,303/727,691 = 727,691/x
  3. Step 3: Cross multiply
    331,303x = 727,691 × 727,691
  4. Step 4: Simplify right side
    331,303x = 529,534,191,481
  5. Step 5: Solve for x
    x = 529,534,191,481/331,303
  6. Step 6: Final answer
    x = 1,598,338.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.