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Finding the Third Proportional to 209,134 and 445,240

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Solution

The third proportional to 209,134 and 445,240 is: 947,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,134 : 445,240 = 445,240 : x
  2. Step 2: Convert to fraction form
    209,134/445,240 = 445,240/x
  3. Step 3: Cross multiply
    209,134x = 445,240 × 445,240
  4. Step 4: Simplify right side
    209,134x = 198,238,657,600
  5. Step 5: Solve for x
    x = 198,238,657,600/209,134
  6. Step 6: Final answer
    x = 947,902.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.