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Finding the Third Proportional to 155,981 and 172,383

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Solution

The third proportional to 155,981 and 172,383 is: 190,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,981 : 172,383 = 172,383 : x
  2. Step 2: Convert to fraction form
    155,981/172,383 = 172,383/x
  3. Step 3: Cross multiply
    155,981x = 172,383 × 172,383
  4. Step 4: Simplify right side
    155,981x = 29,715,898,689
  5. Step 5: Solve for x
    x = 29,715,898,689/155,981
  6. Step 6: Final answer
    x = 190,509.73

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.