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Finding the Third Proportional to 91,828 and 197,660

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Solution

The third proportional to 91,828 and 197,660 is: 425,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,828 : 197,660 = 197,660 : x
  2. Step 2: Convert to fraction form
    91,828/197,660 = 197,660/x
  3. Step 3: Cross multiply
    91,828x = 197,660 × 197,660
  4. Step 4: Simplify right side
    91,828x = 39,069,475,600
  5. Step 5: Solve for x
    x = 39,069,475,600/91,828
  6. Step 6: Final answer
    x = 425,463.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.