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Finding the Third Proportional to 98 and 142.50

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Solution

The third proportional to 98 and 142.50 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98 : 142.50 = 142.50 : x
  2. Step 2: Convert to fraction form
    98/142.50 = 142.50/x
  3. Step 3: Cross multiply
    98x = 142.50 × 142.50
  4. Step 4: Simplify right side
    98x = 20,306.25
  5. Step 5: Solve for x
    x = 20,306.25/98
  6. Step 6: Final answer
    x = 207.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.