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Finding the Third Proportional to 109,463 and 236,390

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Solution

The third proportional to 109,463 and 236,390 is: 510,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,463 : 236,390 = 236,390 : x
  2. Step 2: Convert to fraction form
    109,463/236,390 = 236,390/x
  3. Step 3: Cross multiply
    109,463x = 236,390 × 236,390
  4. Step 4: Simplify right side
    109,463x = 55,880,232,100
  5. Step 5: Solve for x
    x = 55,880,232,100/109,463
  6. Step 6: Final answer
    x = 510,494.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.