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Finding the Third Proportional to 90,890 and 130,104

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Solution

The third proportional to 90,890 and 130,104 is: 186,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,890 : 130,104 = 130,104 : x
  2. Step 2: Convert to fraction form
    90,890/130,104 = 130,104/x
  3. Step 3: Cross multiply
    90,890x = 130,104 × 130,104
  4. Step 4: Simplify right side
    90,890x = 16,927,050,816
  5. Step 5: Solve for x
    x = 16,927,050,816/90,890
  6. Step 6: Final answer
    x = 186,236.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.