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Finding the Third Proportional to 111,288 and 172,344

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Solution

The third proportional to 111,288 and 172,344 is: 266,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,288 : 172,344 = 172,344 : x
  2. Step 2: Convert to fraction form
    111,288/172,344 = 172,344/x
  3. Step 3: Cross multiply
    111,288x = 172,344 × 172,344
  4. Step 4: Simplify right side
    111,288x = 29,702,454,336
  5. Step 5: Solve for x
    x = 29,702,454,336/111,288
  6. Step 6: Final answer
    x = 266,897.19

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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.