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Finding the Third Proportional to 76,602 and 114,979

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Solution

The third proportional to 76,602 and 114,979 is: 172,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602 : 114,979 = 114,979 : x
  2. Step 2: Convert to fraction form
    76,602/114,979 = 114,979/x
  3. Step 3: Cross multiply
    76,602x = 114,979 × 114,979
  4. Step 4: Simplify right side
    76,602x = 13,220,170,441
  5. Step 5: Solve for x
    x = 13,220,170,441/76,602
  6. Step 6: Final answer
    x = 172,582.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.