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Finding the Third Proportional to 307,791 and 491,697

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Solution

The third proportional to 307,791 and 491,697 is: 785,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,791 : 491,697 = 491,697 : x
  2. Step 2: Convert to fraction form
    307,791/491,697 = 491,697/x
  3. Step 3: Cross multiply
    307,791x = 491,697 × 491,697
  4. Step 4: Simplify right side
    307,791x = 241,765,939,809
  5. Step 5: Solve for x
    x = 241,765,939,809/307,791
  6. Step 6: Final answer
    x = 785,487.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.