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Finding the Third Proportional to 68,970 and 148,824

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Solution

The third proportional to 68,970 and 148,824 is: 321,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,970 : 148,824 = 148,824 : x
  2. Step 2: Convert to fraction form
    68,970/148,824 = 148,824/x
  3. Step 3: Cross multiply
    68,970x = 148,824 × 148,824
  4. Step 4: Simplify right side
    68,970x = 22,148,582,976
  5. Step 5: Solve for x
    x = 22,148,582,976/68,970
  6. Step 6: Final answer
    x = 321,133.58

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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.