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Finding the Third Proportional to 4.70 and 7.63

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Solution

The third proportional to 4.70 and 7.63 is: 12.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.70 : 7.63 = 7.63 : x
  2. Step 2: Convert to fraction form
    4.70/7.63 = 7.63/x
  3. Step 3: Cross multiply
    4.70x = 7.63 × 7.63
  4. Step 4: Simplify right side
    4.70x = 58.24
  5. Step 5: Solve for x
    x = 58.24/4.70
  6. Step 6: Final answer
    x = 12.40

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.