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Finding the Third Proportional to 207,305 and 451,485

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Solution

The third proportional to 207,305 and 451,485 is: 983,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,305 : 451,485 = 451,485 : x
  2. Step 2: Convert to fraction form
    207,305/451,485 = 451,485/x
  3. Step 3: Cross multiply
    207,305x = 451,485 × 451,485
  4. Step 4: Simplify right side
    207,305x = 203,838,705,225
  5. Step 5: Solve for x
    x = 203,838,705,225/207,305
  6. Step 6: Final answer
    x = 983,279.25

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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.