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Finding the Third Proportional to 30,783.75 and 66,276

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Solution

The third proportional to 30,783.75 and 66,276 is: 142,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.75 : 66,276 = 66,276 : x
  2. Step 2: Convert to fraction form
    30,783.75/66,276 = 66,276/x
  3. Step 3: Cross multiply
    30,783.75x = 66,276 × 66,276
  4. Step 4: Simplify right side
    30,783.75x = 4,392,508,176
  5. Step 5: Solve for x
    x = 4,392,508,176/30,783.75
  6. Step 6: Final answer
    x = 142,689.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.