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Finding the Third Proportional to 332,728 and 511,943

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Solution

The third proportional to 332,728 and 511,943 is: 787,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,728 : 511,943 = 511,943 : x
  2. Step 2: Convert to fraction form
    332,728/511,943 = 511,943/x
  3. Step 3: Cross multiply
    332,728x = 511,943 × 511,943
  4. Step 4: Simplify right side
    332,728x = 262,085,635,249
  5. Step 5: Solve for x
    x = 262,085,635,249/332,728
  6. Step 6: Final answer
    x = 787,687.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.