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Finding the Third Proportional to 140,256.56 and 210,330.42

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Solution

The third proportional to 140,256.56 and 210,330.42 is: 315,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,256.56 : 210,330.42 = 210,330.42 : x
  2. Step 2: Convert to fraction form
    140,256.56/210,330.42 = 210,330.42/x
  3. Step 3: Cross multiply
    140,256.56x = 210,330.42 × 210,330.42
  4. Step 4: Simplify right side
    140,256.56x = 44,238,886,366.12
  5. Step 5: Solve for x
    x = 44,238,886,366.12/140,256.56
  6. Step 6: Final answer
    x = 315,414.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.