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Finding the Third Proportional to 67,066 and 144,671

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Solution

The third proportional to 67,066 and 144,671 is: 312,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,066 : 144,671 = 144,671 : x
  2. Step 2: Convert to fraction form
    67,066/144,671 = 144,671/x
  3. Step 3: Cross multiply
    67,066x = 144,671 × 144,671
  4. Step 4: Simplify right side
    67,066x = 20,929,698,241
  5. Step 5: Solve for x
    x = 20,929,698,241/67,066
  6. Step 6: Final answer
    x = 312,076.14

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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.