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Finding the Third Proportional to 59,085 and 87,702

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Solution

The third proportional to 59,085 and 87,702 is: 130,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,085 : 87,702 = 87,702 : x
  2. Step 2: Convert to fraction form
    59,085/87,702 = 87,702/x
  3. Step 3: Cross multiply
    59,085x = 87,702 × 87,702
  4. Step 4: Simplify right side
    59,085x = 7,691,640,804
  5. Step 5: Solve for x
    x = 7,691,640,804/59,085
  6. Step 6: Final answer
    x = 130,179.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.