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Finding the Third Proportional to 70,378.50 and 151,503

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Solution

The third proportional to 70,378.50 and 151,503 is: 326,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378.50 : 151,503 = 151,503 : x
  2. Step 2: Convert to fraction form
    70,378.50/151,503 = 151,503/x
  3. Step 3: Cross multiply
    70,378.50x = 151,503 × 151,503
  4. Step 4: Simplify right side
    70,378.50x = 22,953,159,009
  5. Step 5: Solve for x
    x = 22,953,159,009/70,378.50
  6. Step 6: Final answer
    x = 326,138.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.