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Finding the Third Proportional to 30,258.75 and 65,619.75

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Solution

The third proportional to 30,258.75 and 65,619.75 is: 142,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.75 : 65,619.75 = 65,619.75 : x
  2. Step 2: Convert to fraction form
    30,258.75/65,619.75 = 65,619.75/x
  3. Step 3: Cross multiply
    30,258.75x = 65,619.75 × 65,619.75
  4. Step 4: Simplify right side
    30,258.75x = 4,305,951,590.06
  5. Step 5: Solve for x
    x = 4,305,951,590.06/30,258.75
  6. Step 6: Final answer
    x = 142,304.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.