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Finding the Third Proportional to 277,879.13 and 430,546.69

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Solution

The third proportional to 277,879.13 and 430,546.69 is: 667,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,879.13 : 430,546.69 = 430,546.69 : x
  2. Step 2: Convert to fraction form
    277,879.13/430,546.69 = 430,546.69/x
  3. Step 3: Cross multiply
    277,879.13x = 430,546.69 × 430,546.69
  4. Step 4: Simplify right side
    277,879.13x = 185,370,450,117.22
  5. Step 5: Solve for x
    x = 185,370,450,117.22/277,879.13
  6. Step 6: Final answer
    x = 667,090.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.