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Finding the Third Proportional to 142.88 and 297.70

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Solution

The third proportional to 142.88 and 297.70 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.88 : 297.70 = 297.70 : x
  2. Step 2: Convert to fraction form
    142.88/297.70 = 297.70/x
  3. Step 3: Cross multiply
    142.88x = 297.70 × 297.70
  4. Step 4: Simplify right side
    142.88x = 88,627.15
  5. Step 5: Solve for x
    x = 88,627.15/142.88
  6. Step 6: Final answer
    x = 620.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.