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Finding the Third Proportional to 128,311 and 172,783

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Solution

The third proportional to 128,311 and 172,783 is: 232,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,311 : 172,783 = 172,783 : x
  2. Step 2: Convert to fraction form
    128,311/172,783 = 172,783/x
  3. Step 3: Cross multiply
    128,311x = 172,783 × 172,783
  4. Step 4: Simplify right side
    128,311x = 29,853,965,089
  5. Step 5: Solve for x
    x = 29,853,965,089/128,311
  6. Step 6: Final answer
    x = 232,668.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.