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Finding the Third Proportional to 90,153 and 130,581

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Solution

The third proportional to 90,153 and 130,581 is: 189,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,153 : 130,581 = 130,581 : x
  2. Step 2: Convert to fraction form
    90,153/130,581 = 130,581/x
  3. Step 3: Cross multiply
    90,153x = 130,581 × 130,581
  4. Step 4: Simplify right side
    90,153x = 17,051,397,561
  5. Step 5: Solve for x
    x = 17,051,397,561/90,153
  6. Step 6: Final answer
    x = 189,138.44

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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.