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Finding the Third Proportional to 6,670.88 and 10,464.19

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Solution

The third proportional to 6,670.88 and 10,464.19 is: 16,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.88 : 10,464.19 = 10,464.19 : x
  2. Step 2: Convert to fraction form
    6,670.88/10,464.19 = 10,464.19/x
  3. Step 3: Cross multiply
    6,670.88x = 10,464.19 × 10,464.19
  4. Step 4: Simplify right side
    6,670.88x = 109,499,220.04
  5. Step 5: Solve for x
    x = 109,499,220.04/6,670.88
  6. Step 6: Final answer
    x = 16,414.52

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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.