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Finding the Third Proportional to 198,095 and 426,991

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Solution

The third proportional to 198,095 and 426,991 is: 920,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,095 : 426,991 = 426,991 : x
  2. Step 2: Convert to fraction form
    198,095/426,991 = 426,991/x
  3. Step 3: Cross multiply
    198,095x = 426,991 × 426,991
  4. Step 4: Simplify right side
    198,095x = 182,321,314,081
  5. Step 5: Solve for x
    x = 182,321,314,081/198,095
  6. Step 6: Final answer
    x = 920,373.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.