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Finding the Third Proportional to 7,664.63 and 8,434.13

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Solution

The third proportional to 7,664.63 and 8,434.13 is: 9,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.63 : 8,434.13 = 8,434.13 : x
  2. Step 2: Convert to fraction form
    7,664.63/8,434.13 = 8,434.13/x
  3. Step 3: Cross multiply
    7,664.63x = 8,434.13 × 8,434.13
  4. Step 4: Simplify right side
    7,664.63x = 71,134,464.52
  5. Step 5: Solve for x
    x = 71,134,464.52/7,664.63
  6. Step 6: Final answer
    x = 9,280.88

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.