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Finding the Third Proportional to 90,299 and 186,970

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Solution

The third proportional to 90,299 and 186,970 is: 387,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,299 : 186,970 = 186,970 : x
  2. Step 2: Convert to fraction form
    90,299/186,970 = 186,970/x
  3. Step 3: Cross multiply
    90,299x = 186,970 × 186,970
  4. Step 4: Simplify right side
    90,299x = 34,957,780,900
  5. Step 5: Solve for x
    x = 34,957,780,900/90,299
  6. Step 6: Final answer
    x = 387,133.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.