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Finding the Third Proportional to 236,700 and 511,308

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Solution

The third proportional to 236,700 and 511,308 is: 1,104,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,700 : 511,308 = 511,308 : x
  2. Step 2: Convert to fraction form
    236,700/511,308 = 511,308/x
  3. Step 3: Cross multiply
    236,700x = 511,308 × 511,308
  4. Step 4: Simplify right side
    236,700x = 261,435,870,864
  5. Step 5: Solve for x
    x = 261,435,870,864/236,700
  6. Step 6: Final answer
    x = 1,104,503.05

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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.