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Finding the Third Proportional to 139,026 and 299,652

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Solution

The third proportional to 139,026 and 299,652 is: 645,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,026 : 299,652 = 299,652 : x
  2. Step 2: Convert to fraction form
    139,026/299,652 = 299,652/x
  3. Step 3: Cross multiply
    139,026x = 299,652 × 299,652
  4. Step 4: Simplify right side
    139,026x = 89,791,321,104
  5. Step 5: Solve for x
    x = 89,791,321,104/139,026
  6. Step 6: Final answer
    x = 645,859.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.