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Finding the Third Proportional to 139,434 and 201,050

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Solution

The third proportional to 139,434 and 201,050 is: 289,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,434 : 201,050 = 201,050 : x
  2. Step 2: Convert to fraction form
    139,434/201,050 = 201,050/x
  3. Step 3: Cross multiply
    139,434x = 201,050 × 201,050
  4. Step 4: Simplify right side
    139,434x = 40,421,102,500
  5. Step 5: Solve for x
    x = 40,421,102,500/139,434
  6. Step 6: Final answer
    x = 289,894.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.