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Finding the Third Proportional to 30,677 and 67,211

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Solution

The third proportional to 30,677 and 67,211 is: 147,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677 : 67,211 = 67,211 : x
  2. Step 2: Convert to fraction form
    30,677/67,211 = 67,211/x
  3. Step 3: Cross multiply
    30,677x = 67,211 × 67,211
  4. Step 4: Simplify right side
    30,677x = 4,517,318,521
  5. Step 5: Solve for x
    x = 4,517,318,521/30,677
  6. Step 6: Final answer
    x = 147,254.25

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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.