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Finding the Third Proportional to 70,824 and 155,255

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Solution

The third proportional to 70,824 and 155,255 is: 340,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,824 : 155,255 = 155,255 : x
  2. Step 2: Convert to fraction form
    70,824/155,255 = 155,255/x
  3. Step 3: Cross multiply
    70,824x = 155,255 × 155,255
  4. Step 4: Simplify right side
    70,824x = 24,104,115,025
  5. Step 5: Solve for x
    x = 24,104,115,025/70,824
  6. Step 6: Final answer
    x = 340,338.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.