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Finding the Third Proportional to 6,452.08 and 9,434.64

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Solution

The third proportional to 6,452.08 and 9,434.64 is: 13,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.08 : 9,434.64 = 9,434.64 : x
  2. Step 2: Convert to fraction form
    6,452.08/9,434.64 = 9,434.64/x
  3. Step 3: Cross multiply
    6,452.08x = 9,434.64 × 9,434.64
  4. Step 4: Simplify right side
    6,452.08x = 89,012,452.94
  5. Step 5: Solve for x
    x = 89,012,452.94/6,452.08
  6. Step 6: Final answer
    x = 13,795.94

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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.