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Finding the Third Proportional to 2,590.50 and 6,034.13

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Solution

The third proportional to 2,590.50 and 6,034.13 is: 14,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.50 : 6,034.13 = 6,034.13 : x
  2. Step 2: Convert to fraction form
    2,590.50/6,034.13 = 6,034.13/x
  3. Step 3: Cross multiply
    2,590.50x = 6,034.13 × 6,034.13
  4. Step 4: Simplify right side
    2,590.50x = 36,410,664.52
  5. Step 5: Solve for x
    x = 36,410,664.52/2,590.50
  6. Step 6: Final answer
    x = 14,055.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.