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Finding the Third Proportional to 177,405.19 and 399,223.69

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Solution

The third proportional to 177,405.19 and 399,223.69 is: 898,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,405.19 : 399,223.69 = 399,223.69 : x
  2. Step 2: Convert to fraction form
    177,405.19/399,223.69 = 399,223.69/x
  3. Step 3: Cross multiply
    177,405.19x = 399,223.69 × 399,223.69
  4. Step 4: Simplify right side
    177,405.19x = 159,379,552,661.10
  5. Step 5: Solve for x
    x = 159,379,552,661.10/177,405.19
  6. Step 6: Final answer
    x = 898,392.85

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.