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Finding the Third Proportional to 323,765 and 686,983

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Solution

The third proportional to 323,765 and 686,983 is: 1,457,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,765 : 686,983 = 686,983 : x
  2. Step 2: Convert to fraction form
    323,765/686,983 = 686,983/x
  3. Step 3: Cross multiply
    323,765x = 686,983 × 686,983
  4. Step 4: Simplify right side
    323,765x = 471,945,642,289
  5. Step 5: Solve for x
    x = 471,945,642,289/323,765
  6. Step 6: Final answer
    x = 1,457,679.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.