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Finding the Third Proportional to 313,092.75 and 685,261.50

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Solution

The third proportional to 313,092.75 and 685,261.50 is: 1,499,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,092.75 : 685,261.50 = 685,261.50 : x
  2. Step 2: Convert to fraction form
    313,092.75/685,261.50 = 685,261.50/x
  3. Step 3: Cross multiply
    313,092.75x = 685,261.50 × 685,261.50
  4. Step 4: Simplify right side
    313,092.75x = 469,583,323,382.25
  5. Step 5: Solve for x
    x = 469,583,323,382.25/313,092.75
  6. Step 6: Final answer
    x = 1,499,821.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.