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Finding the Third Proportional to 80,464.64 and 118,232.16

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Solution

The third proportional to 80,464.64 and 118,232.16 is: 173,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464.64 : 118,232.16 = 118,232.16 : x
  2. Step 2: Convert to fraction form
    80,464.64/118,232.16 = 118,232.16/x
  3. Step 3: Cross multiply
    80,464.64x = 118,232.16 × 118,232.16
  4. Step 4: Simplify right side
    80,464.64x = 13,978,842,771.52
  5. Step 5: Solve for x
    x = 13,978,842,771.52/80,464.64
  6. Step 6: Final answer
    x = 173,726.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.