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Finding the Third Proportional to 434,590.75 and 638,879.25

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Solution

The third proportional to 434,590.75 and 638,879.25 is: 939,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,590.75 : 638,879.25 = 638,879.25 : x
  2. Step 2: Convert to fraction form
    434,590.75/638,879.25 = 638,879.25/x
  3. Step 3: Cross multiply
    434,590.75x = 638,879.25 × 638,879.25
  4. Step 4: Simplify right side
    434,590.75x = 408,166,696,080.56
  5. Step 5: Solve for x
    x = 408,166,696,080.56/434,590.75
  6. Step 6: Final answer
    x = 939,197.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.