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Finding the Third Proportional to 172,405.13 and 258,840.56

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Solution

The third proportional to 172,405.13 and 258,840.56 is: 388,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,405.13 : 258,840.56 = 258,840.56 : x
  2. Step 2: Convert to fraction form
    172,405.13/258,840.56 = 258,840.56/x
  3. Step 3: Cross multiply
    172,405.13x = 258,840.56 × 258,840.56
  4. Step 4: Simplify right side
    172,405.13x = 66,998,436,795.32
  5. Step 5: Solve for x
    x = 66,998,436,795.32/172,405.13
  6. Step 6: Final answer
    x = 388,610.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.