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Finding the Third Proportional to 138,394 and 197,223

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Solution

The third proportional to 138,394 and 197,223 is: 281,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,394 : 197,223 = 197,223 : x
  2. Step 2: Convert to fraction form
    138,394/197,223 = 197,223/x
  3. Step 3: Cross multiply
    138,394x = 197,223 × 197,223
  4. Step 4: Simplify right side
    138,394x = 38,896,911,729
  5. Step 5: Solve for x
    x = 38,896,911,729/138,394
  6. Step 6: Final answer
    x = 281,059.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.