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Finding the Third Proportional to 90,890 and 197,536

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Solution

The third proportional to 90,890 and 197,536 is: 429,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,890 : 197,536 = 197,536 : x
  2. Step 2: Convert to fraction form
    90,890/197,536 = 197,536/x
  3. Step 3: Cross multiply
    90,890x = 197,536 × 197,536
  4. Step 4: Simplify right side
    90,890x = 39,020,471,296
  5. Step 5: Solve for x
    x = 39,020,471,296/90,890
  6. Step 6: Final answer
    x = 429,315.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.