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Finding the Third Proportional to 320,875 and 687,302

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Solution

The third proportional to 320,875 and 687,302 is: 1,472,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,875 : 687,302 = 687,302 : x
  2. Step 2: Convert to fraction form
    320,875/687,302 = 687,302/x
  3. Step 3: Cross multiply
    320,875x = 687,302 × 687,302
  4. Step 4: Simplify right side
    320,875x = 472,384,039,204
  5. Step 5: Solve for x
    x = 472,384,039,204/320,875
  6. Step 6: Final answer
    x = 1,472,174.64

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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.