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Finding the Third Proportional to 135,968 and 296,129

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Solution

The third proportional to 135,968 and 296,129 is: 644,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,968 : 296,129 = 296,129 : x
  2. Step 2: Convert to fraction form
    135,968/296,129 = 296,129/x
  3. Step 3: Cross multiply
    135,968x = 296,129 × 296,129
  4. Step 4: Simplify right side
    135,968x = 87,692,384,641
  5. Step 5: Solve for x
    x = 87,692,384,641/135,968
  6. Step 6: Final answer
    x = 644,948.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.