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Finding the Third Proportional to 218,630.25 and 290,621.25

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Solution

The third proportional to 218,630.25 and 290,621.25 is: 386,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,630.25 : 290,621.25 = 290,621.25 : x
  2. Step 2: Convert to fraction form
    218,630.25/290,621.25 = 290,621.25/x
  3. Step 3: Cross multiply
    218,630.25x = 290,621.25 × 290,621.25
  4. Step 4: Simplify right side
    218,630.25x = 84,460,710,951.56
  5. Step 5: Solve for x
    x = 84,460,710,951.56/218,630.25
  6. Step 6: Final answer
    x = 386,317.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.