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Finding the Third Proportional to 67,137.75 and 146,254.50

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Solution

The third proportional to 67,137.75 and 146,254.50 is: 318,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,137.75 : 146,254.50 = 146,254.50 : x
  2. Step 2: Convert to fraction form
    67,137.75/146,254.50 = 146,254.50/x
  3. Step 3: Cross multiply
    67,137.75x = 146,254.50 × 146,254.50
  4. Step 4: Simplify right side
    67,137.75x = 21,390,378,770.25
  5. Step 5: Solve for x
    x = 21,390,378,770.25/67,137.75
  6. Step 6: Final answer
    x = 318,604.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.