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Finding the Third Proportional to 2,977.13 and 4,379.63

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Solution

The third proportional to 2,977.13 and 4,379.63 is: 6,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.13 : 4,379.63 = 4,379.63 : x
  2. Step 2: Convert to fraction form
    2,977.13/4,379.63 = 4,379.63/x
  3. Step 3: Cross multiply
    2,977.13x = 4,379.63 × 4,379.63
  4. Step 4: Simplify right side
    2,977.13x = 19,181,115.14
  5. Step 5: Solve for x
    x = 19,181,115.14/2,977.13
  6. Step 6: Final answer
    x = 6,442.83

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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.