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Finding the Third Proportional to 68,169 and 142,602

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Solution

The third proportional to 68,169 and 142,602 is: 298,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,169 : 142,602 = 142,602 : x
  2. Step 2: Convert to fraction form
    68,169/142,602 = 142,602/x
  3. Step 3: Cross multiply
    68,169x = 142,602 × 142,602
  4. Step 4: Simplify right side
    68,169x = 20,335,330,404
  5. Step 5: Solve for x
    x = 20,335,330,404/68,169
  6. Step 6: Final answer
    x = 298,307.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.