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Finding the Third Proportional to 90,385 and 190,929

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Solution

The third proportional to 90,385 and 190,929 is: 403,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,385 : 190,929 = 190,929 : x
  2. Step 2: Convert to fraction form
    90,385/190,929 = 190,929/x
  3. Step 3: Cross multiply
    90,385x = 190,929 × 190,929
  4. Step 4: Simplify right side
    90,385x = 36,453,883,041
  5. Step 5: Solve for x
    x = 36,453,883,041/90,385
  6. Step 6: Final answer
    x = 403,317.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.