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Finding the Third Proportional to 347,980 and 511,764

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Solution

The third proportional to 347,980 and 511,764 is: 752,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,980 : 511,764 = 511,764 : x
  2. Step 2: Convert to fraction form
    347,980/511,764 = 511,764/x
  3. Step 3: Cross multiply
    347,980x = 511,764 × 511,764
  4. Step 4: Simplify right side
    347,980x = 261,902,391,696
  5. Step 5: Solve for x
    x = 261,902,391,696/347,980
  6. Step 6: Final answer
    x = 752,636.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.