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Finding the Third Proportional to 215,395.13 and 301,840.50

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Solution

The third proportional to 215,395.13 and 301,840.50 is: 422,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,395.13 : 301,840.50 = 301,840.50 : x
  2. Step 2: Convert to fraction form
    215,395.13/301,840.50 = 301,840.50/x
  3. Step 3: Cross multiply
    215,395.13x = 301,840.50 × 301,840.50
  4. Step 4: Simplify right side
    215,395.13x = 91,107,687,440.25
  5. Step 5: Solve for x
    x = 91,107,687,440.25/215,395.13
  6. Step 6: Final answer
    x = 422,979.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.