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Finding the Third Proportional to 158,420 and 329,944

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Solution

The third proportional to 158,420 and 329,944 is: 687,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,420 : 329,944 = 329,944 : x
  2. Step 2: Convert to fraction form
    158,420/329,944 = 329,944/x
  3. Step 3: Cross multiply
    158,420x = 329,944 × 329,944
  4. Step 4: Simplify right side
    158,420x = 108,863,043,136
  5. Step 5: Solve for x
    x = 108,863,043,136/158,420
  6. Step 6: Final answer
    x = 687,179.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.