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Finding the Third Proportional to 171,803 and 348,439

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Solution

The third proportional to 171,803 and 348,439 is: 706,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,803 : 348,439 = 348,439 : x
  2. Step 2: Convert to fraction form
    171,803/348,439 = 348,439/x
  3. Step 3: Cross multiply
    171,803x = 348,439 × 348,439
  4. Step 4: Simplify right side
    171,803x = 121,409,736,721
  5. Step 5: Solve for x
    x = 121,409,736,721/171,803
  6. Step 6: Final answer
    x = 706,679.96

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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.