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Finding the Third Proportional to 68,683.50 and 142,628.63

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Solution

The third proportional to 68,683.50 and 142,628.63 is: 296,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,683.50 : 142,628.63 = 142,628.63 : x
  2. Step 2: Convert to fraction form
    68,683.50/142,628.63 = 142,628.63/x
  3. Step 3: Cross multiply
    68,683.50x = 142,628.63 × 142,628.63
  4. Step 4: Simplify right side
    68,683.50x = 20,342,924,669.39
  5. Step 5: Solve for x
    x = 20,342,924,669.39/68,683.50
  6. Step 6: Final answer
    x = 296,183.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.