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Finding the Third Proportional to 99,966 and 213,702

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Solution

The third proportional to 99,966 and 213,702 is: 456,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,966 : 213,702 = 213,702 : x
  2. Step 2: Convert to fraction form
    99,966/213,702 = 213,702/x
  3. Step 3: Cross multiply
    99,966x = 213,702 × 213,702
  4. Step 4: Simplify right side
    99,966x = 45,668,544,804
  5. Step 5: Solve for x
    x = 45,668,544,804/99,966
  6. Step 6: Final answer
    x = 456,840.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.