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Finding the Third Proportional to 140 and 210.25

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Solution

The third proportional to 140 and 210.25 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140 : 210.25 = 210.25 : x
  2. Step 2: Convert to fraction form
    140/210.25 = 210.25/x
  3. Step 3: Cross multiply
    140x = 210.25 × 210.25
  4. Step 4: Simplify right side
    140x = 44,205.06
  5. Step 5: Solve for x
    x = 44,205.06/140
  6. Step 6: Final answer
    x = 315.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.