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Finding the Third Proportional to 111,398 and 172,575

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Solution

The third proportional to 111,398 and 172,575 is: 267,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,398 : 172,575 = 172,575 : x
  2. Step 2: Convert to fraction form
    111,398/172,575 = 172,575/x
  3. Step 3: Cross multiply
    111,398x = 172,575 × 172,575
  4. Step 4: Simplify right side
    111,398x = 29,782,130,625
  5. Step 5: Solve for x
    x = 29,782,130,625/111,398
  6. Step 6: Final answer
    x = 267,348.88

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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.