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Finding the Third Proportional to 306,272 and 491,693

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Solution

The third proportional to 306,272 and 491,693 is: 789,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,272 : 491,693 = 491,693 : x
  2. Step 2: Convert to fraction form
    306,272/491,693 = 491,693/x
  3. Step 3: Cross multiply
    306,272x = 491,693 × 491,693
  4. Step 4: Simplify right side
    306,272x = 241,762,006,249
  5. Step 5: Solve for x
    x = 241,762,006,249/306,272
  6. Step 6: Final answer
    x = 789,370.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.