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Finding the Third Proportional to 56,890 and 86,079

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Solution

The third proportional to 56,890 and 86,079 is: 130,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,890 : 86,079 = 86,079 : x
  2. Step 2: Convert to fraction form
    56,890/86,079 = 86,079/x
  3. Step 3: Cross multiply
    56,890x = 86,079 × 86,079
  4. Step 4: Simplify right side
    56,890x = 7,409,594,241
  5. Step 5: Solve for x
    x = 7,409,594,241/56,890
  6. Step 6: Final answer
    x = 130,244.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.