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Finding the Third Proportional to 90,698 and 211,794.63

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Solution

The third proportional to 90,698 and 211,794.63 is: 494,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,698 : 211,794.63 = 211,794.63 : x
  2. Step 2: Convert to fraction form
    90,698/211,794.63 = 211,794.63/x
  3. Step 3: Cross multiply
    90,698x = 211,794.63 × 211,794.63
  4. Step 4: Simplify right side
    90,698x = 44,856,963,178.89
  5. Step 5: Solve for x
    x = 44,856,963,178.89/90,698
  6. Step 6: Final answer
    x = 494,575.00

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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.