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Finding the Third Proportional to 99,520 and 154,088

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Solution

The third proportional to 99,520 and 154,088 is: 238,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,520 : 154,088 = 154,088 : x
  2. Step 2: Convert to fraction form
    99,520/154,088 = 154,088/x
  3. Step 3: Cross multiply
    99,520x = 154,088 × 154,088
  4. Step 4: Simplify right side
    99,520x = 23,743,111,744
  5. Step 5: Solve for x
    x = 23,743,111,744/99,520
  6. Step 6: Final answer
    x = 238,576.28

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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.