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Finding the Third Proportional to 90,622 and 213,237

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Solution

The third proportional to 90,622 and 213,237 is: 501,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,622 : 213,237 = 213,237 : x
  2. Step 2: Convert to fraction form
    90,622/213,237 = 213,237/x
  3. Step 3: Cross multiply
    90,622x = 213,237 × 213,237
  4. Step 4: Simplify right side
    90,622x = 45,470,018,169
  5. Step 5: Solve for x
    x = 45,470,018,169/90,622
  6. Step 6: Final answer
    x = 501,754.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.