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Finding the Third Proportional to 130,991 and 200,243

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Solution

The third proportional to 130,991 and 200,243 is: 306,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,991 : 200,243 = 200,243 : x
  2. Step 2: Convert to fraction form
    130,991/200,243 = 200,243/x
  3. Step 3: Cross multiply
    130,991x = 200,243 × 200,243
  4. Step 4: Simplify right side
    130,991x = 40,097,259,049
  5. Step 5: Solve for x
    x = 40,097,259,049/130,991
  6. Step 6: Final answer
    x = 306,106.98

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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.