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Finding the Third Proportional to 31,318 and 48,435

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Solution

The third proportional to 31,318 and 48,435 is: 74,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318 : 48,435 = 48,435 : x
  2. Step 2: Convert to fraction form
    31,318/48,435 = 48,435/x
  3. Step 3: Cross multiply
    31,318x = 48,435 × 48,435
  4. Step 4: Simplify right side
    31,318x = 2,345,949,225
  5. Step 5: Solve for x
    x = 2,345,949,225/31,318
  6. Step 6: Final answer
    x = 74,907.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.