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Finding the Third Proportional to 76,480.25 and 107,509

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Solution

The third proportional to 76,480.25 and 107,509 is: 151,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480.25 : 107,509 = 107,509 : x
  2. Step 2: Convert to fraction form
    76,480.25/107,509 = 107,509/x
  3. Step 3: Cross multiply
    76,480.25x = 107,509 × 107,509
  4. Step 4: Simplify right side
    76,480.25x = 11,558,185,081
  5. Step 5: Solve for x
    x = 11,558,185,081/76,480.25
  6. Step 6: Final answer
    x = 151,126.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.