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Finding the Third Proportional to 109,457 and 236,378

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Solution

The third proportional to 109,457 and 236,378 is: 510,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,457 : 236,378 = 236,378 : x
  2. Step 2: Convert to fraction form
    109,457/236,378 = 236,378/x
  3. Step 3: Cross multiply
    109,457x = 236,378 × 236,378
  4. Step 4: Simplify right side
    109,457x = 55,874,558,884
  5. Step 5: Solve for x
    x = 55,874,558,884/109,457
  6. Step 6: Final answer
    x = 510,470.40

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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.