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Finding the Third Proportional to 30,783 and 66,315

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Solution

The third proportional to 30,783 and 66,315 is: 142,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783 : 66,315 = 66,315 : x
  2. Step 2: Convert to fraction form
    30,783/66,315 = 66,315/x
  3. Step 3: Cross multiply
    30,783x = 66,315 × 66,315
  4. Step 4: Simplify right side
    30,783x = 4,397,679,225
  5. Step 5: Solve for x
    x = 4,397,679,225/30,783
  6. Step 6: Final answer
    x = 142,860.64

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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.