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Finding the Third Proportional to 30,371.25 and 66,783

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Solution

The third proportional to 30,371.25 and 66,783 is: 146,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,371.25 : 66,783 = 66,783 : x
  2. Step 2: Convert to fraction form
    30,371.25/66,783 = 66,783/x
  3. Step 3: Cross multiply
    30,371.25x = 66,783 × 66,783
  4. Step 4: Simplify right side
    30,371.25x = 4,459,969,089
  5. Step 5: Solve for x
    x = 4,459,969,089/30,371.25
  6. Step 6: Final answer
    x = 146,848.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.