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Finding the Third Proportional to 140,427.42 and 215,334.07

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Solution

The third proportional to 140,427.42 and 215,334.07 is: 330,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,427.42 : 215,334.07 = 215,334.07 : x
  2. Step 2: Convert to fraction form
    140,427.42/215,334.07 = 215,334.07/x
  3. Step 3: Cross multiply
    140,427.42x = 215,334.07 × 215,334.07
  4. Step 4: Simplify right side
    140,427.42x = 46,368,761,837.35
  5. Step 5: Solve for x
    x = 46,368,761,837.35/140,427.42
  6. Step 6: Final answer
    x = 330,197.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.