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Finding the Third Proportional to 236,905 and 511,740

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Solution

The third proportional to 236,905 and 511,740 is: 1,105,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,905 : 511,740 = 511,740 : x
  2. Step 2: Convert to fraction form
    236,905/511,740 = 511,740/x
  3. Step 3: Cross multiply
    236,905x = 511,740 × 511,740
  4. Step 4: Simplify right side
    236,905x = 261,877,827,600
  5. Step 5: Solve for x
    x = 261,877,827,600/236,905
  6. Step 6: Final answer
    x = 1,105,412.83

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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.