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Finding the Third Proportional to 172,340.25 and 364,551.75

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Solution

The third proportional to 172,340.25 and 364,551.75 is: 771,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,340.25 : 364,551.75 = 364,551.75 : x
  2. Step 2: Convert to fraction form
    172,340.25/364,551.75 = 364,551.75/x
  3. Step 3: Cross multiply
    172,340.25x = 364,551.75 × 364,551.75
  4. Step 4: Simplify right side
    172,340.25x = 132,897,978,428.06
  5. Step 5: Solve for x
    x = 132,897,978,428.06/172,340.25
  6. Step 6: Final answer
    x = 771,137.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.