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Finding the Third Proportional to 215,552.81 and 326,311.03

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Solution

The third proportional to 215,552.81 and 326,311.03 is: 493,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,552.81 : 326,311.03 = 326,311.03 : x
  2. Step 2: Convert to fraction form
    215,552.81/326,311.03 = 326,311.03/x
  3. Step 3: Cross multiply
    215,552.81x = 326,311.03 × 326,311.03
  4. Step 4: Simplify right side
    215,552.81x = 106,478,889,115.44
  5. Step 5: Solve for x
    x = 106,478,889,115.44/215,552.81
  6. Step 6: Final answer
    x = 493,980.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.