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Finding the Third Proportional to 76,130 and 108,205

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Solution

The third proportional to 76,130 and 108,205 is: 153,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,130 : 108,205 = 108,205 : x
  2. Step 2: Convert to fraction form
    76,130/108,205 = 108,205/x
  3. Step 3: Cross multiply
    76,130x = 108,205 × 108,205
  4. Step 4: Simplify right side
    76,130x = 11,708,322,025
  5. Step 5: Solve for x
    x = 11,708,322,025/76,130
  6. Step 6: Final answer
    x = 153,793.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.