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Finding the Third Proportional to 135,945 and 293,769

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Solution

The third proportional to 135,945 and 293,769 is: 634,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,945 : 293,769 = 293,769 : x
  2. Step 2: Convert to fraction form
    135,945/293,769 = 293,769/x
  3. Step 3: Cross multiply
    135,945x = 293,769 × 293,769
  4. Step 4: Simplify right side
    135,945x = 86,300,225,361
  5. Step 5: Solve for x
    x = 86,300,225,361/135,945
  6. Step 6: Final answer
    x = 634,817.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.