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Finding the Third Proportional to 30,771 and 67,236

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Solution

The third proportional to 30,771 and 67,236 is: 146,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771 : 67,236 = 67,236 : x
  2. Step 2: Convert to fraction form
    30,771/67,236 = 67,236/x
  3. Step 3: Cross multiply
    30,771x = 67,236 × 67,236
  4. Step 4: Simplify right side
    30,771x = 4,520,679,696
  5. Step 5: Solve for x
    x = 4,520,679,696/30,771
  6. Step 6: Final answer
    x = 146,913.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.