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Finding the Third Proportional to 90,208 and 137,250

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Solution

The third proportional to 90,208 and 137,250 is: 208,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,208 : 137,250 = 137,250 : x
  2. Step 2: Convert to fraction form
    90,208/137,250 = 137,250/x
  3. Step 3: Cross multiply
    90,208x = 137,250 × 137,250
  4. Step 4: Simplify right side
    90,208x = 18,837,562,500
  5. Step 5: Solve for x
    x = 18,837,562,500/90,208
  6. Step 6: Final answer
    x = 208,823.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.