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Finding the Third Proportional to 99,902 and 154,678

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Solution

The third proportional to 99,902 and 154,678 is: 239,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,902 : 154,678 = 154,678 : x
  2. Step 2: Convert to fraction form
    99,902/154,678 = 154,678/x
  3. Step 3: Cross multiply
    99,902x = 154,678 × 154,678
  4. Step 4: Simplify right side
    99,902x = 23,925,283,684
  5. Step 5: Solve for x
    x = 23,925,283,684/99,902
  6. Step 6: Final answer
    x = 239,487.53

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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.