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Finding the Third Proportional to 142,217 and 306,850.50

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Solution

The third proportional to 142,217 and 306,850.50 is: 662,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,217 : 306,850.50 = 306,850.50 : x
  2. Step 2: Convert to fraction form
    142,217/306,850.50 = 306,850.50/x
  3. Step 3: Cross multiply
    142,217x = 306,850.50 × 306,850.50
  4. Step 4: Simplify right side
    142,217x = 94,157,229,350.25
  5. Step 5: Solve for x
    x = 94,157,229,350.25/142,217
  6. Step 6: Final answer
    x = 662,067.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.