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Finding the Third Proportional to 68,371.50 and 143,653.50

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Solution

The third proportional to 68,371.50 and 143,653.50 is: 301,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,371.50 : 143,653.50 = 143,653.50 : x
  2. Step 2: Convert to fraction form
    68,371.50/143,653.50 = 143,653.50/x
  3. Step 3: Cross multiply
    68,371.50x = 143,653.50 × 143,653.50
  4. Step 4: Simplify right side
    68,371.50x = 20,636,328,062.25
  5. Step 5: Solve for x
    x = 20,636,328,062.25/68,371.50
  6. Step 6: Final answer
    x = 301,826.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.