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Finding the Third Proportional to 340,920 and 511,164

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Solution

The third proportional to 340,920 and 511,164 is: 766,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,920 : 511,164 = 511,164 : x
  2. Step 2: Convert to fraction form
    340,920/511,164 = 511,164/x
  3. Step 3: Cross multiply
    340,920x = 511,164 × 511,164
  4. Step 4: Simplify right side
    340,920x = 261,288,634,896
  5. Step 5: Solve for x
    x = 261,288,634,896/340,920
  6. Step 6: Final answer
    x = 766,422.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.