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Finding the Third Proportional to 385,259 and 511,333

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Solution

The third proportional to 385,259 and 511,333 is: 678,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,259 : 511,333 = 511,333 : x
  2. Step 2: Convert to fraction form
    385,259/511,333 = 511,333/x
  3. Step 3: Cross multiply
    385,259x = 511,333 × 511,333
  4. Step 4: Simplify right side
    385,259x = 261,461,436,889
  5. Step 5: Solve for x
    x = 261,461,436,889/385,259
  6. Step 6: Final answer
    x = 678,664.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.