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Finding the Third Proportional to 68,412 and 147,009

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Solution

The third proportional to 68,412 and 147,009 is: 315,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,412 : 147,009 = 147,009 : x
  2. Step 2: Convert to fraction form
    68,412/147,009 = 147,009/x
  3. Step 3: Cross multiply
    68,412x = 147,009 × 147,009
  4. Step 4: Simplify right side
    68,412x = 21,611,646,081
  5. Step 5: Solve for x
    x = 21,611,646,081/68,412
  6. Step 6: Final answer
    x = 315,904.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.