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Finding the Third Proportional to 263,254.50 and 385,008.75

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Solution

The third proportional to 263,254.50 and 385,008.75 is: 563,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,254.50 : 385,008.75 = 385,008.75 : x
  2. Step 2: Convert to fraction form
    263,254.50/385,008.75 = 385,008.75/x
  3. Step 3: Cross multiply
    263,254.50x = 385,008.75 × 385,008.75
  4. Step 4: Simplify right side
    263,254.50x = 148,231,737,576.56
  5. Step 5: Solve for x
    x = 148,231,737,576.56/263,254.50
  6. Step 6: Final answer
    x = 563,073.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.