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Finding the Third Proportional to 91,739 and 135,907.50

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Solution

The third proportional to 91,739 and 135,907.50 is: 201,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,739 : 135,907.50 = 135,907.50 : x
  2. Step 2: Convert to fraction form
    91,739/135,907.50 = 135,907.50/x
  3. Step 3: Cross multiply
    91,739x = 135,907.50 × 135,907.50
  4. Step 4: Simplify right side
    91,739x = 18,470,848,556.25
  5. Step 5: Solve for x
    x = 18,470,848,556.25/91,739
  6. Step 6: Final answer
    x = 201,341.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.