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Finding the Third Proportional to 30,910 and 67,652

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Solution

The third proportional to 30,910 and 67,652 is: 148,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910 : 67,652 = 67,652 : x
  2. Step 2: Convert to fraction form
    30,910/67,652 = 67,652/x
  3. Step 3: Cross multiply
    30,910x = 67,652 × 67,652
  4. Step 4: Simplify right side
    30,910x = 4,576,793,104
  5. Step 5: Solve for x
    x = 4,576,793,104/30,910
  6. Step 6: Final answer
    x = 148,068.36

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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.