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Finding the Third Proportional to 6,952.22 and 10,166.34

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Solution

The third proportional to 6,952.22 and 10,166.34 is: 14,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.22 : 10,166.34 = 10,166.34 : x
  2. Step 2: Convert to fraction form
    6,952.22/10,166.34 = 10,166.34/x
  3. Step 3: Cross multiply
    6,952.22x = 10,166.34 × 10,166.34
  4. Step 4: Simplify right side
    6,952.22x = 103,354,545.24
  5. Step 5: Solve for x
    x = 103,354,545.24/6,952.22
  6. Step 6: Final answer
    x = 14,866.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.