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Finding the Third Proportional to 5,590.50 and 5,992.13

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Solution

The third proportional to 5,590.50 and 5,992.13 is: 6,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.50 : 5,992.13 = 5,992.13 : x
  2. Step 2: Convert to fraction form
    5,590.50/5,992.13 = 5,992.13/x
  3. Step 3: Cross multiply
    5,590.50x = 5,992.13 × 5,992.13
  4. Step 4: Simplify right side
    5,590.50x = 35,905,562.02
  5. Step 5: Solve for x
    x = 35,905,562.02/5,590.50
  6. Step 6: Final answer
    x = 6,422.60

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.