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Finding the Third Proportional to 352,208 and 686,768

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Solution

The third proportional to 352,208 and 686,768 is: 1,339,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,208 : 686,768 = 686,768 : x
  2. Step 2: Convert to fraction form
    352,208/686,768 = 686,768/x
  3. Step 3: Cross multiply
    352,208x = 686,768 × 686,768
  4. Step 4: Simplify right side
    352,208x = 471,650,285,824
  5. Step 5: Solve for x
    x = 471,650,285,824/352,208
  6. Step 6: Final answer
    x = 1,339,124.28

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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.