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Finding the Third Proportional to 129,656 and 172,326

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Solution

The third proportional to 129,656 and 172,326 is: 229,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,656 : 172,326 = 172,326 : x
  2. Step 2: Convert to fraction form
    129,656/172,326 = 172,326/x
  3. Step 3: Cross multiply
    129,656x = 172,326 × 172,326
  4. Step 4: Simplify right side
    129,656x = 29,696,250,276
  5. Step 5: Solve for x
    x = 29,696,250,276/129,656
  6. Step 6: Final answer
    x = 229,038.77

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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.