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Finding the Third Proportional to 68,188 and 144,488

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Solution

The third proportional to 68,188 and 144,488 is: 306,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,188 : 144,488 = 144,488 : x
  2. Step 2: Convert to fraction form
    68,188/144,488 = 144,488/x
  3. Step 3: Cross multiply
    68,188x = 144,488 × 144,488
  4. Step 4: Simplify right side
    68,188x = 20,876,782,144
  5. Step 5: Solve for x
    x = 20,876,782,144/68,188
  6. Step 6: Final answer
    x = 306,165.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.