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Finding the Third Proportional to 5,415.61 and 11,210.91

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Solution

The third proportional to 5,415.61 and 11,210.91 is: 23,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.61 : 11,210.91 = 11,210.91 : x
  2. Step 2: Convert to fraction form
    5,415.61/11,210.91 = 11,210.91/x
  3. Step 3: Cross multiply
    5,415.61x = 11,210.91 × 11,210.91
  4. Step 4: Simplify right side
    5,415.61x = 125,684,418.95
  5. Step 5: Solve for x
    x = 125,684,418.95/5,415.61
  6. Step 6: Final answer
    x = 23,207.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.