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Finding the Third Proportional to 68,695 and 149,053

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Solution

The third proportional to 68,695 and 149,053 is: 323,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,695 : 149,053 = 149,053 : x
  2. Step 2: Convert to fraction form
    68,695/149,053 = 149,053/x
  3. Step 3: Cross multiply
    68,695x = 149,053 × 149,053
  4. Step 4: Simplify right side
    68,695x = 22,216,796,809
  5. Step 5: Solve for x
    x = 22,216,796,809/68,695
  6. Step 6: Final answer
    x = 323,412.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.