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Finding the Third Proportional to 135,099 and 296,142

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Solution

The third proportional to 135,099 and 296,142 is: 649,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,099 : 296,142 = 296,142 : x
  2. Step 2: Convert to fraction form
    135,099/296,142 = 296,142/x
  3. Step 3: Cross multiply
    135,099x = 296,142 × 296,142
  4. Step 4: Simplify right side
    135,099x = 87,700,084,164
  5. Step 5: Solve for x
    x = 87,700,084,164/135,099
  6. Step 6: Final answer
    x = 649,154.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.