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Finding the Third Proportional to 56,890 and 81,947

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Solution

The third proportional to 56,890 and 81,947 is: 118,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,890 : 81,947 = 81,947 : x
  2. Step 2: Convert to fraction form
    56,890/81,947 = 81,947/x
  3. Step 3: Cross multiply
    56,890x = 81,947 × 81,947
  4. Step 4: Simplify right side
    56,890x = 6,715,310,809
  5. Step 5: Solve for x
    x = 6,715,310,809/56,890
  6. Step 6: Final answer
    x = 118,040.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.