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Finding the Third Proportional to 4.59 and 9.77

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Solution

The third proportional to 4.59 and 9.77 is: 20.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.59 : 9.77 = 9.77 : x
  2. Step 2: Convert to fraction form
    4.59/9.77 = 9.77/x
  3. Step 3: Cross multiply
    4.59x = 9.77 × 9.77
  4. Step 4: Simplify right side
    4.59x = 95.43
  5. Step 5: Solve for x
    x = 95.43/4.59
  6. Step 6: Final answer
    x = 20.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.