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Finding the Third Proportional to 171,808 and 348,448

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Solution

The third proportional to 171,808 and 348,448 is: 706,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,808 : 348,448 = 348,448 : x
  2. Step 2: Convert to fraction form
    171,808/348,448 = 348,448/x
  3. Step 3: Cross multiply
    171,808x = 348,448 × 348,448
  4. Step 4: Simplify right side
    171,808x = 121,416,008,704
  5. Step 5: Solve for x
    x = 121,416,008,704/171,808
  6. Step 6: Final answer
    x = 706,695.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.