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Finding the Third Proportional to 68,683 and 141,763

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Solution

The third proportional to 68,683 and 141,763 is: 292,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,683 : 141,763 = 141,763 : x
  2. Step 2: Convert to fraction form
    68,683/141,763 = 141,763/x
  3. Step 3: Cross multiply
    68,683x = 141,763 × 141,763
  4. Step 4: Simplify right side
    68,683x = 20,096,748,169
  5. Step 5: Solve for x
    x = 20,096,748,169/68,683
  6. Step 6: Final answer
    x = 292,601.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.