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Finding the Third Proportional to 142,429 and 311,325

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Solution

The third proportional to 142,429 and 311,325 is: 680,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,429 : 311,325 = 311,325 : x
  2. Step 2: Convert to fraction form
    142,429/311,325 = 311,325/x
  3. Step 3: Cross multiply
    142,429x = 311,325 × 311,325
  4. Step 4: Simplify right side
    142,429x = 96,923,255,625
  5. Step 5: Solve for x
    x = 96,923,255,625/142,429
  6. Step 6: Final answer
    x = 680,502.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.