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Finding the Third Proportional to 385,266 and 511,206

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Solution

The third proportional to 385,266 and 511,206 is: 678,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,266 : 511,206 = 511,206 : x
  2. Step 2: Convert to fraction form
    385,266/511,206 = 511,206/x
  3. Step 3: Cross multiply
    385,266x = 511,206 × 511,206
  4. Step 4: Simplify right side
    385,266x = 261,331,574,436
  5. Step 5: Solve for x
    x = 261,331,574,436/385,266
  6. Step 6: Final answer
    x = 678,314.66

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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.