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Finding the Third Proportional to 169,921 and 347,240

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Solution

The third proportional to 169,921 and 347,240 is: 709,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,921 : 347,240 = 347,240 : x
  2. Step 2: Convert to fraction form
    169,921/347,240 = 347,240/x
  3. Step 3: Cross multiply
    169,921x = 347,240 × 347,240
  4. Step 4: Simplify right side
    169,921x = 120,575,617,600
  5. Step 5: Solve for x
    x = 120,575,617,600/169,921
  6. Step 6: Final answer
    x = 709,598.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.