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Finding the Third Proportional to 2,552.34 and 4,010.98

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Solution

The third proportional to 2,552.34 and 4,010.98 is: 6,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.34 : 4,010.98 = 4,010.98 : x
  2. Step 2: Convert to fraction form
    2,552.34/4,010.98 = 4,010.98/x
  3. Step 3: Cross multiply
    2,552.34x = 4,010.98 × 4,010.98
  4. Step 4: Simplify right side
    2,552.34x = 16,087,932.98
  5. Step 5: Solve for x
    x = 16,087,932.98/2,552.34
  6. Step 6: Final answer
    x = 6,303.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.