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Finding the Third Proportional to 86,947 and 190,520

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Solution

The third proportional to 86,947 and 190,520 is: 417,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,947 : 190,520 = 190,520 : x
  2. Step 2: Convert to fraction form
    86,947/190,520 = 190,520/x
  3. Step 3: Cross multiply
    86,947x = 190,520 × 190,520
  4. Step 4: Simplify right side
    86,947x = 36,297,870,400
  5. Step 5: Solve for x
    x = 36,297,870,400/86,947
  6. Step 6: Final answer
    x = 417,471.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.