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Finding the Third Proportional to 128,971 and 172,008

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Solution

The third proportional to 128,971 and 172,008 is: 229,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,971 : 172,008 = 172,008 : x
  2. Step 2: Convert to fraction form
    128,971/172,008 = 172,008/x
  3. Step 3: Cross multiply
    128,971x = 172,008 × 172,008
  4. Step 4: Simplify right side
    128,971x = 29,586,752,064
  5. Step 5: Solve for x
    x = 29,586,752,064/128,971
  6. Step 6: Final answer
    x = 229,406.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.