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Finding the Third Proportional to 100,130.50 and 154,989

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Solution

The third proportional to 100,130.50 and 154,989 is: 239,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,130.50 : 154,989 = 154,989 : x
  2. Step 2: Convert to fraction form
    100,130.50/154,989 = 154,989/x
  3. Step 3: Cross multiply
    100,130.50x = 154,989 × 154,989
  4. Step 4: Simplify right side
    100,130.50x = 24,021,590,121
  5. Step 5: Solve for x
    x = 24,021,590,121/100,130.50
  6. Step 6: Final answer
    x = 239,902.83

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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.