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Finding the Third Proportional to 161,878 and 330,172

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Solution

The third proportional to 161,878 and 330,172 is: 673,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,878 : 330,172 = 330,172 : x
  2. Step 2: Convert to fraction form
    161,878/330,172 = 330,172/x
  3. Step 3: Cross multiply
    161,878x = 330,172 × 330,172
  4. Step 4: Simplify right side
    161,878x = 109,013,549,584
  5. Step 5: Solve for x
    x = 109,013,549,584/161,878
  6. Step 6: Final answer
    x = 673,430.30

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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.