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Finding the Third Proportional to 288,968 and 383,431

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Solution

The third proportional to 288,968 and 383,431 is: 508,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,968 : 383,431 = 383,431 : x
  2. Step 2: Convert to fraction form
    288,968/383,431 = 383,431/x
  3. Step 3: Cross multiply
    288,968x = 383,431 × 383,431
  4. Step 4: Simplify right side
    288,968x = 147,019,331,761
  5. Step 5: Solve for x
    x = 147,019,331,761/288,968
  6. Step 6: Final answer
    x = 508,773.75

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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.