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Finding the Third Proportional to 110,925 and 172,089

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Solution

The third proportional to 110,925 and 172,089 is: 266,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,925 : 172,089 = 172,089 : x
  2. Step 2: Convert to fraction form
    110,925/172,089 = 172,089/x
  3. Step 3: Cross multiply
    110,925x = 172,089 × 172,089
  4. Step 4: Simplify right side
    110,925x = 29,614,623,921
  5. Step 5: Solve for x
    x = 29,614,623,921/110,925
  6. Step 6: Final answer
    x = 266,978.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.