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Finding the Third Proportional to 131,015 and 197,609

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Solution

The third proportional to 131,015 and 197,609 is: 298,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,015 : 197,609 = 197,609 : x
  2. Step 2: Convert to fraction form
    131,015/197,609 = 197,609/x
  3. Step 3: Cross multiply
    131,015x = 197,609 × 197,609
  4. Step 4: Simplify right side
    131,015x = 39,049,316,881
  5. Step 5: Solve for x
    x = 39,049,316,881/131,015
  6. Step 6: Final answer
    x = 298,052.26

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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.