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Finding the Third Proportional to 236,400 and 512,178

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Solution

The third proportional to 236,400 and 512,178 is: 1,109,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,400 : 512,178 = 512,178 : x
  2. Step 2: Convert to fraction form
    236,400/512,178 = 512,178/x
  3. Step 3: Cross multiply
    236,400x = 512,178 × 512,178
  4. Step 4: Simplify right side
    236,400x = 262,326,303,684
  5. Step 5: Solve for x
    x = 262,326,303,684/236,400
  6. Step 6: Final answer
    x = 1,109,671.34

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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.