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Finding the Third Proportional to 68,290 and 149,032

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Solution

The third proportional to 68,290 and 149,032 is: 325,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,290 : 149,032 = 149,032 : x
  2. Step 2: Convert to fraction form
    68,290/149,032 = 149,032/x
  3. Step 3: Cross multiply
    68,290x = 149,032 × 149,032
  4. Step 4: Simplify right side
    68,290x = 22,210,537,024
  5. Step 5: Solve for x
    x = 22,210,537,024/68,290
  6. Step 6: Final answer
    x = 325,238.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.