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Finding the Third Proportional to 71,621.25 and 151,780.13

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Solution

The third proportional to 71,621.25 and 151,780.13 is: 321,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,621.25 : 151,780.13 = 151,780.13 : x
  2. Step 2: Convert to fraction form
    71,621.25/151,780.13 = 151,780.13/x
  3. Step 3: Cross multiply
    71,621.25x = 151,780.13 × 151,780.13
  4. Step 4: Simplify right side
    71,621.25x = 23,037,206,345.02
  5. Step 5: Solve for x
    x = 23,037,206,345.02/71,621.25
  6. Step 6: Final answer
    x = 321,653.23

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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.