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Finding the Third Proportional to 68,210 and 149,060

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Solution

The third proportional to 68,210 and 149,060 is: 325,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,210 : 149,060 = 149,060 : x
  2. Step 2: Convert to fraction form
    68,210/149,060 = 149,060/x
  3. Step 3: Cross multiply
    68,210x = 149,060 × 149,060
  4. Step 4: Simplify right side
    68,210x = 22,218,883,600
  5. Step 5: Solve for x
    x = 22,218,883,600/68,210
  6. Step 6: Final answer
    x = 325,742.32

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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.