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Finding the Third Proportional to 172,710.56 and 261,748.13

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Solution

The third proportional to 172,710.56 and 261,748.13 is: 396,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,710.56 : 261,748.13 = 261,748.13 : x
  2. Step 2: Convert to fraction form
    172,710.56/261,748.13 = 261,748.13/x
  3. Step 3: Cross multiply
    172,710.56x = 261,748.13 × 261,748.13
  4. Step 4: Simplify right side
    172,710.56x = 68,512,080,941.02
  5. Step 5: Solve for x
    x = 68,512,080,941.02/172,710.56
  6. Step 6: Final answer
    x = 396,687.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.