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Finding the Third Proportional to 90,590 and 149,723

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Solution

The third proportional to 90,590 and 149,723 is: 247,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,590 : 149,723 = 149,723 : x
  2. Step 2: Convert to fraction form
    90,590/149,723 = 149,723/x
  3. Step 3: Cross multiply
    90,590x = 149,723 × 149,723
  4. Step 4: Simplify right side
    90,590x = 22,416,976,729
  5. Step 5: Solve for x
    x = 22,416,976,729/90,590
  6. Step 6: Final answer
    x = 247,455.31

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.