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Finding the Third Proportional to 323,769 and 686,991

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Solution

The third proportional to 323,769 and 686,991 is: 1,457,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,769 : 686,991 = 686,991 : x
  2. Step 2: Convert to fraction form
    323,769/686,991 = 686,991/x
  3. Step 3: Cross multiply
    323,769x = 686,991 × 686,991
  4. Step 4: Simplify right side
    323,769x = 471,956,634,081
  5. Step 5: Solve for x
    x = 471,956,634,081/323,769
  6. Step 6: Final answer
    x = 1,457,695.56

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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.