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Finding the Third Proportional to 172,351.55 and 400,505.77

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Solution

The third proportional to 172,351.55 and 400,505.77 is: 930,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,351.55 : 400,505.77 = 400,505.77 : x
  2. Step 2: Convert to fraction form
    172,351.55/400,505.77 = 400,505.77/x
  3. Step 3: Cross multiply
    172,351.55x = 400,505.77 × 400,505.77
  4. Step 4: Simplify right side
    172,351.55x = 160,404,868,298.87
  5. Step 5: Solve for x
    x = 160,404,868,298.87/172,351.55
  6. Step 6: Final answer
    x = 930,684.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.