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Finding the Third Proportional to 320,873 and 687,298

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Solution

The third proportional to 320,873 and 687,298 is: 1,472,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,873 : 687,298 = 687,298 : x
  2. Step 2: Convert to fraction form
    320,873/687,298 = 687,298/x
  3. Step 3: Cross multiply
    320,873x = 687,298 × 687,298
  4. Step 4: Simplify right side
    320,873x = 472,378,540,804
  5. Step 5: Solve for x
    x = 472,378,540,804/320,873
  6. Step 6: Final answer
    x = 1,472,166.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.