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Finding the Third Proportional to 13,878 and 31,239

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Solution

The third proportional to 13,878 and 31,239 is: 70,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 31,239 = 31,239 : x
  2. Step 2: Convert to fraction form
    13,878/31,239 = 31,239/x
  3. Step 3: Cross multiply
    13,878x = 31,239 × 31,239
  4. Step 4: Simplify right side
    13,878x = 975,875,121
  5. Step 5: Solve for x
    x = 975,875,121/13,878
  6. Step 6: Final answer
    x = 70,318.14

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.