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Finding the Third Proportional to 208,615.50 and 313,895.25

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Solution

The third proportional to 208,615.50 and 313,895.25 is: 472,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,615.50 : 313,895.25 = 313,895.25 : x
  2. Step 2: Convert to fraction form
    208,615.50/313,895.25 = 313,895.25/x
  3. Step 3: Cross multiply
    208,615.50x = 313,895.25 × 313,895.25
  4. Step 4: Simplify right side
    208,615.50x = 98,530,227,972.56
  5. Step 5: Solve for x
    x = 98,530,227,972.56/208,615.50
  6. Step 6: Final answer
    x = 472,305.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.