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Finding the Third Proportional to 100,450.13 and 155,636.44

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Solution

The third proportional to 100,450.13 and 155,636.44 is: 241,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,450.13 : 155,636.44 = 155,636.44 : x
  2. Step 2: Convert to fraction form
    100,450.13/155,636.44 = 155,636.44/x
  3. Step 3: Cross multiply
    100,450.13x = 155,636.44 × 155,636.44
  4. Step 4: Simplify right side
    100,450.13x = 24,222,700,677.69
  5. Step 5: Solve for x
    x = 24,222,700,677.69/100,450.13
  6. Step 6: Final answer
    x = 241,141.57

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Why These Related Problems?

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