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Finding the Third Proportional to 385,256.25 and 511,329.38

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Solution

The third proportional to 385,256.25 and 511,329.38 is: 678,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,256.25 : 511,329.38 = 511,329.38 : x
  2. Step 2: Convert to fraction form
    385,256.25/511,329.38 = 511,329.38/x
  3. Step 3: Cross multiply
    385,256.25x = 511,329.38 × 511,329.38
  4. Step 4: Simplify right side
    385,256.25x = 261,457,729,737.89
  5. Step 5: Solve for x
    x = 261,457,729,737.89/385,256.25
  6. Step 6: Final answer
    x = 678,659.28

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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.