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Finding the Third Proportional to 309,698.50 and 458,791.50

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Solution

The third proportional to 309,698.50 and 458,791.50 is: 679,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,698.50 : 458,791.50 = 458,791.50 : x
  2. Step 2: Convert to fraction form
    309,698.50/458,791.50 = 458,791.50/x
  3. Step 3: Cross multiply
    309,698.50x = 458,791.50 × 458,791.50
  4. Step 4: Simplify right side
    309,698.50x = 210,489,640,472.25
  5. Step 5: Solve for x
    x = 210,489,640,472.25/309,698.50
  6. Step 6: Final answer
    x = 679,659.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.