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Finding the Third Proportional to 30,214 and 66,466

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Solution

The third proportional to 30,214 and 66,466 is: 146,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214 : 66,466 = 66,466 : x
  2. Step 2: Convert to fraction form
    30,214/66,466 = 66,466/x
  3. Step 3: Cross multiply
    30,214x = 66,466 × 66,466
  4. Step 4: Simplify right side
    30,214x = 4,417,729,156
  5. Step 5: Solve for x
    x = 4,417,729,156/30,214
  6. Step 6: Final answer
    x = 146,214.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.