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Finding the Third Proportional to 111,232 and 172,378

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Solution

The third proportional to 111,232 and 172,378 is: 267,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,232 : 172,378 = 172,378 : x
  2. Step 2: Convert to fraction form
    111,232/172,378 = 172,378/x
  3. Step 3: Cross multiply
    111,232x = 172,378 × 172,378
  4. Step 4: Simplify right side
    111,232x = 29,714,174,884
  5. Step 5: Solve for x
    x = 29,714,174,884/111,232
  6. Step 6: Final answer
    x = 267,136.93

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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.