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Finding the Third Proportional to 129,654 and 172,323

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Solution

The third proportional to 129,654 and 172,323 is: 229,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654 : 172,323 = 172,323 : x
  2. Step 2: Convert to fraction form
    129,654/172,323 = 172,323/x
  3. Step 3: Cross multiply
    129,654x = 172,323 × 172,323
  4. Step 4: Simplify right side
    129,654x = 29,695,216,329
  5. Step 5: Solve for x
    x = 29,695,216,329/129,654
  6. Step 6: Final answer
    x = 229,034.32

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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.