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Finding the Third Proportional to 30,039 and 61,900.50

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Solution

The third proportional to 30,039 and 61,900.50 is: 127,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,039 : 61,900.50 = 61,900.50 : x
  2. Step 2: Convert to fraction form
    30,039/61,900.50 = 61,900.50/x
  3. Step 3: Cross multiply
    30,039x = 61,900.50 × 61,900.50
  4. Step 4: Simplify right side
    30,039x = 3,831,671,900.25
  5. Step 5: Solve for x
    x = 3,831,671,900.25/30,039
  6. Step 6: Final answer
    x = 127,556.57

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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.