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Finding the Third Proportional to 352,128 and 686,616

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Solution

The third proportional to 352,128 and 686,616 is: 1,338,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,128 : 686,616 = 686,616 : x
  2. Step 2: Convert to fraction form
    352,128/686,616 = 686,616/x
  3. Step 3: Cross multiply
    352,128x = 686,616 × 686,616
  4. Step 4: Simplify right side
    352,128x = 471,441,531,456
  5. Step 5: Solve for x
    x = 471,441,531,456/352,128
  6. Step 6: Final answer
    x = 1,338,835.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.