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Finding the Third Proportional to 140.95 and 207.05

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Solution

The third proportional to 140.95 and 207.05 is: 304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.95 : 207.05 = 207.05 : x
  2. Step 2: Convert to fraction form
    140.95/207.05 = 207.05/x
  3. Step 3: Cross multiply
    140.95x = 207.05 × 207.05
  4. Step 4: Simplify right side
    140.95x = 42,868.41
  5. Step 5: Solve for x
    x = 42,868.41/140.95
  6. Step 6: Final answer
    x = 304.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.