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Finding the Third Proportional to 312,190,274.67 and 694,181,365.31

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Solution

The third proportional to 312,190,274.67 and 694,181,365.31 is: 1,543,570,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,190,274.67 : 694,181,365.31 = 694,181,365.31 : x
  2. Step 2: Convert to fraction form
    312,190,274.67/694,181,365.31 = 694,181,365.31/x
  3. Step 3: Cross multiply
    312,190,274.67x = 694,181,365.31 × 694,181,365.31
  4. Step 4: Simplify right side
    312,190,274.67x = 481,887,767,947,126,592
  5. Step 5: Solve for x
    x = 481,887,767,947,126,592/312,190,274.67
  6. Step 6: Final answer
    x = 1,543,570,722.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.