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Finding the Third Proportional to 30,228 and 61,984.50

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Solution

The third proportional to 30,228 and 61,984.50 is: 127,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228 : 61,984.50 = 61,984.50 : x
  2. Step 2: Convert to fraction form
    30,228/61,984.50 = 61,984.50/x
  3. Step 3: Cross multiply
    30,228x = 61,984.50 × 61,984.50
  4. Step 4: Simplify right side
    30,228x = 3,842,078,240.25
  5. Step 5: Solve for x
    x = 3,842,078,240.25/30,228
  6. Step 6: Final answer
    x = 127,103.29

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.