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Finding the Third Proportional to 350,927 and 488,945.50

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Solution

The third proportional to 350,927 and 488,945.50 is: 681,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,927 : 488,945.50 = 488,945.50 : x
  2. Step 2: Convert to fraction form
    350,927/488,945.50 = 488,945.50/x
  3. Step 3: Cross multiply
    350,927x = 488,945.50 × 488,945.50
  4. Step 4: Simplify right side
    350,927x = 239,067,701,970.25
  5. Step 5: Solve for x
    x = 239,067,701,970.25/350,927
  6. Step 6: Final answer
    x = 681,246.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.