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Finding the Third Proportional to 76,816 and 103,320

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Solution

The third proportional to 76,816 and 103,320 is: 138,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,816 : 103,320 = 103,320 : x
  2. Step 2: Convert to fraction form
    76,816/103,320 = 103,320/x
  3. Step 3: Cross multiply
    76,816x = 103,320 × 103,320
  4. Step 4: Simplify right side
    76,816x = 10,675,022,400
  5. Step 5: Solve for x
    x = 10,675,022,400/76,816
  6. Step 6: Final answer
    x = 138,968.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.