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Finding the Third Proportional to 142,508 and 311,260

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Solution

The third proportional to 142,508 and 311,260 is: 679,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,508 : 311,260 = 311,260 : x
  2. Step 2: Convert to fraction form
    142,508/311,260 = 311,260/x
  3. Step 3: Cross multiply
    142,508x = 311,260 × 311,260
  4. Step 4: Simplify right side
    142,508x = 96,882,787,600
  5. Step 5: Solve for x
    x = 96,882,787,600/142,508
  6. Step 6: Final answer
    x = 679,841.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.