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Finding the Third Proportional to 136,760 and 295,390

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Solution

The third proportional to 136,760 and 295,390 is: 638,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,760 : 295,390 = 295,390 : x
  2. Step 2: Convert to fraction form
    136,760/295,390 = 295,390/x
  3. Step 3: Cross multiply
    136,760x = 295,390 × 295,390
  4. Step 4: Simplify right side
    136,760x = 87,255,252,100
  5. Step 5: Solve for x
    x = 87,255,252,100/136,760
  6. Step 6: Final answer
    x = 638,017.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.