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Finding the Third Proportional to 30,695 and 67,246

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Solution

The third proportional to 30,695 and 67,246 is: 147,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695 : 67,246 = 67,246 : x
  2. Step 2: Convert to fraction form
    30,695/67,246 = 67,246/x
  3. Step 3: Cross multiply
    30,695x = 67,246 × 67,246
  4. Step 4: Simplify right side
    30,695x = 4,522,024,516
  5. Step 5: Solve for x
    x = 4,522,024,516/30,695
  6. Step 6: Final answer
    x = 147,321.21

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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.