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Finding the Third Proportional to 90,135 and 130,555

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Solution

The third proportional to 90,135 and 130,555 is: 189,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,135 : 130,555 = 130,555 : x
  2. Step 2: Convert to fraction form
    90,135/130,555 = 130,555/x
  3. Step 3: Cross multiply
    90,135x = 130,555 × 130,555
  4. Step 4: Simplify right side
    90,135x = 17,044,608,025
  5. Step 5: Solve for x
    x = 17,044,608,025/90,135
  6. Step 6: Final answer
    x = 189,100.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.