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Finding the Third Proportional to 85,150 and 172,732

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Solution

The third proportional to 85,150 and 172,732 is: 350,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,150 : 172,732 = 172,732 : x
  2. Step 2: Convert to fraction form
    85,150/172,732 = 172,732/x
  3. Step 3: Cross multiply
    85,150x = 172,732 × 172,732
  4. Step 4: Simplify right side
    85,150x = 29,836,343,824
  5. Step 5: Solve for x
    x = 29,836,343,824/85,150
  6. Step 6: Final answer
    x = 350,397.46

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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.