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Finding the Third Proportional to 70,686 and 155,340

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Solution

The third proportional to 70,686 and 155,340 is: 341,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,686 : 155,340 = 155,340 : x
  2. Step 2: Convert to fraction form
    70,686/155,340 = 155,340/x
  3. Step 3: Cross multiply
    70,686x = 155,340 × 155,340
  4. Step 4: Simplify right side
    70,686x = 24,130,515,600
  5. Step 5: Solve for x
    x = 24,130,515,600/70,686
  6. Step 6: Final answer
    x = 341,376.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.