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Finding the Third Proportional to 331,507 and 491,046

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Solution

The third proportional to 331,507 and 491,046 is: 727,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,507 : 491,046 = 491,046 : x
  2. Step 2: Convert to fraction form
    331,507/491,046 = 491,046/x
  3. Step 3: Cross multiply
    331,507x = 491,046 × 491,046
  4. Step 4: Simplify right side
    331,507x = 241,126,174,116
  5. Step 5: Solve for x
    x = 241,126,174,116/331,507
  6. Step 6: Final answer
    x = 727,363.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.