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Finding the Third Proportional to 215,705.25 and 465,216.75

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Solution

The third proportional to 215,705.25 and 465,216.75 is: 1,003,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,705.25 : 465,216.75 = 465,216.75 : x
  2. Step 2: Convert to fraction form
    215,705.25/465,216.75 = 465,216.75/x
  3. Step 3: Cross multiply
    215,705.25x = 465,216.75 × 465,216.75
  4. Step 4: Simplify right side
    215,705.25x = 216,426,624,480.56
  5. Step 5: Solve for x
    x = 216,426,624,480.56/215,705.25
  6. Step 6: Final answer
    x = 1,003,344.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.