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Finding the Third Proportional to 68,440 and 149,944

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Solution

The third proportional to 68,440 and 149,944 is: 328,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,440 : 149,944 = 149,944 : x
  2. Step 2: Convert to fraction form
    68,440/149,944 = 149,944/x
  3. Step 3: Cross multiply
    68,440x = 149,944 × 149,944
  4. Step 4: Simplify right side
    68,440x = 22,483,203,136
  5. Step 5: Solve for x
    x = 22,483,203,136/68,440
  6. Step 6: Final answer
    x = 328,509.69

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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.