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Finding the Third Proportional to 158,431.50 and 243,183

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Solution

The third proportional to 158,431.50 and 243,183 is: 373,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,431.50 : 243,183 = 243,183 : x
  2. Step 2: Convert to fraction form
    158,431.50/243,183 = 243,183/x
  3. Step 3: Cross multiply
    158,431.50x = 243,183 × 243,183
  4. Step 4: Simplify right side
    158,431.50x = 59,137,971,489
  5. Step 5: Solve for x
    x = 59,137,971,489/158,431.50
  6. Step 6: Final answer
    x = 373,271.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.