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Finding the Third Proportional to 130,942.50 and 200,218.50

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Solution

The third proportional to 130,942.50 and 200,218.50 is: 306,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,942.50 : 200,218.50 = 200,218.50 : x
  2. Step 2: Convert to fraction form
    130,942.50/200,218.50 = 200,218.50/x
  3. Step 3: Cross multiply
    130,942.50x = 200,218.50 × 200,218.50
  4. Step 4: Simplify right side
    130,942.50x = 40,087,447,742.25
  5. Step 5: Solve for x
    x = 40,087,447,742.25/130,942.50
  6. Step 6: Final answer
    x = 306,145.43

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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.