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Finding the Third Proportional to 236,440 and 512,200

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Solution

The third proportional to 236,440 and 512,200 is: 1,109,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,440 : 512,200 = 512,200 : x
  2. Step 2: Convert to fraction form
    236,440/512,200 = 512,200/x
  3. Step 3: Cross multiply
    236,440x = 512,200 × 512,200
  4. Step 4: Simplify right side
    236,440x = 262,348,840,000
  5. Step 5: Solve for x
    x = 262,348,840,000/236,440
  6. Step 6: Final answer
    x = 1,109,578.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.