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Finding the Third Proportional to 51,838 and 80,047

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Solution

The third proportional to 51,838 and 80,047 is: 123,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,838 : 80,047 = 80,047 : x
  2. Step 2: Convert to fraction form
    51,838/80,047 = 80,047/x
  3. Step 3: Cross multiply
    51,838x = 80,047 × 80,047
  4. Step 4: Simplify right side
    51,838x = 6,407,522,209
  5. Step 5: Solve for x
    x = 6,407,522,209/51,838
  6. Step 6: Final answer
    x = 123,606.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.