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Finding the Third Proportional to 130,867 and 197,394

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Solution

The third proportional to 130,867 and 197,394 is: 297,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,867 : 197,394 = 197,394 : x
  2. Step 2: Convert to fraction form
    130,867/197,394 = 197,394/x
  3. Step 3: Cross multiply
    130,867x = 197,394 × 197,394
  4. Step 4: Simplify right side
    130,867x = 38,964,391,236
  5. Step 5: Solve for x
    x = 38,964,391,236/130,867
  6. Step 6: Final answer
    x = 297,740.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.