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Finding the Third Proportional to 207,380 and 427,846

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Solution

The third proportional to 207,380 and 427,846 is: 882,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,380 : 427,846 = 427,846 : x
  2. Step 2: Convert to fraction form
    207,380/427,846 = 427,846/x
  3. Step 3: Cross multiply
    207,380x = 427,846 × 427,846
  4. Step 4: Simplify right side
    207,380x = 183,052,199,716
  5. Step 5: Solve for x
    x = 183,052,199,716/207,380
  6. Step 6: Final answer
    x = 882,689.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.