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Finding the Third Proportional to 352,130 and 686,620

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Solution

The third proportional to 352,130 and 686,620 is: 1,338,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,130 : 686,620 = 686,620 : x
  2. Step 2: Convert to fraction form
    352,130/686,620 = 686,620/x
  3. Step 3: Cross multiply
    352,130x = 686,620 × 686,620
  4. Step 4: Simplify right side
    352,130x = 471,447,024,400
  5. Step 5: Solve for x
    x = 471,447,024,400/352,130
  6. Step 6: Final answer
    x = 1,338,843.68

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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.