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Finding the Third Proportional to 551,331 and 827,221

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Solution

The third proportional to 551,331 and 827,221 is: 1,241,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,331 : 827,221 = 827,221 : x
  2. Step 2: Convert to fraction form
    551,331/827,221 = 827,221/x
  3. Step 3: Cross multiply
    551,331x = 827,221 × 827,221
  4. Step 4: Simplify right side
    551,331x = 684,294,582,841
  5. Step 5: Solve for x
    x = 684,294,582,841/551,331
  6. Step 6: Final answer
    x = 1,241,168.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.