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Finding the Third Proportional to 19,911 and 31,077

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Solution

The third proportional to 19,911 and 31,077 is: 48,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911 : 31,077 = 31,077 : x
  2. Step 2: Convert to fraction form
    19,911/31,077 = 31,077/x
  3. Step 3: Cross multiply
    19,911x = 31,077 × 31,077
  4. Step 4: Simplify right side
    19,911x = 965,779,929
  5. Step 5: Solve for x
    x = 965,779,929/19,911
  6. Step 6: Final answer
    x = 48,504.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.