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Finding the Third Proportional to 14.30 and 30.30

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Solution

The third proportional to 14.30 and 30.30 is: 64.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.30 : 30.30 = 30.30 : x
  2. Step 2: Convert to fraction form
    14.30/30.30 = 30.30/x
  3. Step 3: Cross multiply
    14.30x = 30.30 × 30.30
  4. Step 4: Simplify right side
    14.30x = 917.89
  5. Step 5: Solve for x
    x = 917.89/14.30
  6. Step 6: Final answer
    x = 64.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.