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Finding the Third Proportional to 332,712 and 511,920

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Solution

The third proportional to 332,712 and 511,920 is: 787,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,712 : 511,920 = 511,920 : x
  2. Step 2: Convert to fraction form
    332,712/511,920 = 511,920/x
  3. Step 3: Cross multiply
    332,712x = 511,920 × 511,920
  4. Step 4: Simplify right side
    332,712x = 262,062,086,400
  5. Step 5: Solve for x
    x = 262,062,086,400/332,712
  6. Step 6: Final answer
    x = 787,654.45

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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.