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Finding the Third Proportional to 71,621.50 and 151,780.44

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Solution

The third proportional to 71,621.50 and 151,780.44 is: 321,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,621.50 : 151,780.44 = 151,780.44 : x
  2. Step 2: Convert to fraction form
    71,621.50/151,780.44 = 151,780.44/x
  3. Step 3: Cross multiply
    71,621.50x = 151,780.44 × 151,780.44
  4. Step 4: Simplify right side
    71,621.50x = 23,037,301,207.69
  5. Step 5: Solve for x
    x = 23,037,301,207.69/71,621.50
  6. Step 6: Final answer
    x = 321,653.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.