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Finding the Third Proportional to 308,323 and 686,717

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Solution

The third proportional to 308,323 and 686,717 is: 1,529,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,323 : 686,717 = 686,717 : x
  2. Step 2: Convert to fraction form
    308,323/686,717 = 686,717/x
  3. Step 3: Cross multiply
    308,323x = 686,717 × 686,717
  4. Step 4: Simplify right side
    308,323x = 471,580,238,089
  5. Step 5: Solve for x
    x = 471,580,238,089/308,323
  6. Step 6: Final answer
    x = 1,529,500.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.