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Finding the Third Proportional to 160,576 and 330,871

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Solution

The third proportional to 160,576 and 330,871 is: 681,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,576 : 330,871 = 330,871 : x
  2. Step 2: Convert to fraction form
    160,576/330,871 = 330,871/x
  3. Step 3: Cross multiply
    160,576x = 330,871 × 330,871
  4. Step 4: Simplify right side
    160,576x = 109,475,618,641
  5. Step 5: Solve for x
    x = 109,475,618,641/160,576
  6. Step 6: Final answer
    x = 681,768.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.