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Finding the Third Proportional to 217,840.50 and 350,943.75

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Solution

The third proportional to 217,840.50 and 350,943.75 is: 565,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,840.50 : 350,943.75 = 350,943.75 : x
  2. Step 2: Convert to fraction form
    217,840.50/350,943.75 = 350,943.75/x
  3. Step 3: Cross multiply
    217,840.50x = 350,943.75 × 350,943.75
  4. Step 4: Simplify right side
    217,840.50x = 123,161,515,664.06
  5. Step 5: Solve for x
    x = 123,161,515,664.06/217,840.50
  6. Step 6: Final answer
    x = 565,374.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.