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Finding the Third Proportional to 36,869 and 53,820

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Solution

The third proportional to 36,869 and 53,820 is: 78,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,869 : 53,820 = 53,820 : x
  2. Step 2: Convert to fraction form
    36,869/53,820 = 53,820/x
  3. Step 3: Cross multiply
    36,869x = 53,820 × 53,820
  4. Step 4: Simplify right side
    36,869x = 2,896,592,400
  5. Step 5: Solve for x
    x = 2,896,592,400/36,869
  6. Step 6: Final answer
    x = 78,564.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.