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Finding the Third Proportional to 320,223 and 687,933

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Solution

The third proportional to 320,223 and 687,933 is: 1,477,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,223 : 687,933 = 687,933 : x
  2. Step 2: Convert to fraction form
    320,223/687,933 = 687,933/x
  3. Step 3: Cross multiply
    320,223x = 687,933 × 687,933
  4. Step 4: Simplify right side
    320,223x = 473,251,812,489
  5. Step 5: Solve for x
    x = 473,251,812,489/320,223
  6. Step 6: Final answer
    x = 1,477,882.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.