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Finding the Third Proportional to 100,969 and 156,790

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Solution

The third proportional to 100,969 and 156,790 is: 243,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,969 : 156,790 = 156,790 : x
  2. Step 2: Convert to fraction form
    100,969/156,790 = 156,790/x
  3. Step 3: Cross multiply
    100,969x = 156,790 × 156,790
  4. Step 4: Simplify right side
    100,969x = 24,583,104,100
  5. Step 5: Solve for x
    x = 24,583,104,100/100,969
  6. Step 6: Final answer
    x = 243,471.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.