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Finding the Third Proportional to 90,700 and 211,798

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Solution

The third proportional to 90,700 and 211,798 is: 494,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,700 : 211,798 = 211,798 : x
  2. Step 2: Convert to fraction form
    90,700/211,798 = 211,798/x
  3. Step 3: Cross multiply
    90,700x = 211,798 × 211,798
  4. Step 4: Simplify right side
    90,700x = 44,858,392,804
  5. Step 5: Solve for x
    x = 44,858,392,804/90,700
  6. Step 6: Final answer
    x = 494,579.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.