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Finding the Third Proportional to 172,477.13 and 378,978.75

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Solution

The third proportional to 172,477.13 and 378,978.75 is: 832,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,477.13 : 378,978.75 = 378,978.75 : x
  2. Step 2: Convert to fraction form
    172,477.13/378,978.75 = 378,978.75/x
  3. Step 3: Cross multiply
    172,477.13x = 378,978.75 × 378,978.75
  4. Step 4: Simplify right side
    172,477.13x = 143,624,892,951.56
  5. Step 5: Solve for x
    x = 143,624,892,951.56/172,477.13
  6. Step 6: Final answer
    x = 832,718.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.