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Finding the Third Proportional to 100,137 and 154,998

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Solution

The third proportional to 100,137 and 154,998 is: 239,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,137 : 154,998 = 154,998 : x
  2. Step 2: Convert to fraction form
    100,137/154,998 = 154,998/x
  3. Step 3: Cross multiply
    100,137x = 154,998 × 154,998
  4. Step 4: Simplify right side
    100,137x = 24,024,380,004
  5. Step 5: Solve for x
    x = 24,024,380,004/100,137
  6. Step 6: Final answer
    x = 239,915.12

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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.