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Finding the Third Proportional to 215,853.75 and 301,929.75

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Solution

The third proportional to 215,853.75 and 301,929.75 is: 422,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,853.75 : 301,929.75 = 301,929.75 : x
  2. Step 2: Convert to fraction form
    215,853.75/301,929.75 = 301,929.75/x
  3. Step 3: Cross multiply
    215,853.75x = 301,929.75 × 301,929.75
  4. Step 4: Simplify right side
    215,853.75x = 91,161,573,935.06
  5. Step 5: Solve for x
    x = 91,161,573,935.06/215,853.75
  6. Step 6: Final answer
    x = 422,330.28

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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.