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Finding the Third Proportional to 92,912 and 197,810

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Solution

The third proportional to 92,912 and 197,810 is: 421,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,912 : 197,810 = 197,810 : x
  2. Step 2: Convert to fraction form
    92,912/197,810 = 197,810/x
  3. Step 3: Cross multiply
    92,912x = 197,810 × 197,810
  4. Step 4: Simplify right side
    92,912x = 39,128,796,100
  5. Step 5: Solve for x
    x = 39,128,796,100/92,912
  6. Step 6: Final answer
    x = 421,138.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.