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Finding the Third Proportional to 31,878 and 48,316

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Solution

The third proportional to 31,878 and 48,316 is: 73,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878 : 48,316 = 48,316 : x
  2. Step 2: Convert to fraction form
    31,878/48,316 = 48,316/x
  3. Step 3: Cross multiply
    31,878x = 48,316 × 48,316
  4. Step 4: Simplify right side
    31,878x = 2,334,435,856
  5. Step 5: Solve for x
    x = 2,334,435,856/31,878
  6. Step 6: Final answer
    x = 73,230.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.