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Finding the Third Proportional to 14.90 and 31.45

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Solution

The third proportional to 14.90 and 31.45 is: 66.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.90 : 31.45 = 31.45 : x
  2. Step 2: Convert to fraction form
    14.90/31.45 = 31.45/x
  3. Step 3: Cross multiply
    14.90x = 31.45 × 31.45
  4. Step 4: Simplify right side
    14.90x = 989.17
  5. Step 5: Solve for x
    x = 989.17/14.90
  6. Step 6: Final answer
    x = 66.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.