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Finding the Third Proportional to 67,740 and 144,821

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Solution

The third proportional to 67,740 and 144,821 is: 309,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,740 : 144,821 = 144,821 : x
  2. Step 2: Convert to fraction form
    67,740/144,821 = 144,821/x
  3. Step 3: Cross multiply
    67,740x = 144,821 × 144,821
  4. Step 4: Simplify right side
    67,740x = 20,973,122,041
  5. Step 5: Solve for x
    x = 20,973,122,041/67,740
  6. Step 6: Final answer
    x = 309,612.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.