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Finding the Third Proportional to 50,125 and 103,426

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Solution

The third proportional to 50,125 and 103,426 is: 213,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,125 : 103,426 = 103,426 : x
  2. Step 2: Convert to fraction form
    50,125/103,426 = 103,426/x
  3. Step 3: Cross multiply
    50,125x = 103,426 × 103,426
  4. Step 4: Simplify right side
    50,125x = 10,696,937,476
  5. Step 5: Solve for x
    x = 10,696,937,476/50,125
  6. Step 6: Final answer
    x = 213,405.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.