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Finding the Third Proportional to 30,698 and 66,226

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Solution

The third proportional to 30,698 and 66,226 is: 142,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698 : 66,226 = 66,226 : x
  2. Step 2: Convert to fraction form
    30,698/66,226 = 66,226/x
  3. Step 3: Cross multiply
    30,698x = 66,226 × 66,226
  4. Step 4: Simplify right side
    30,698x = 4,385,883,076
  5. Step 5: Solve for x
    x = 4,385,883,076/30,698
  6. Step 6: Final answer
    x = 142,871.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.