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Finding the Third Proportional to 132,019 and 285,085

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Solution

The third proportional to 132,019 and 285,085 is: 615,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,019 : 285,085 = 285,085 : x
  2. Step 2: Convert to fraction form
    132,019/285,085 = 285,085/x
  3. Step 3: Cross multiply
    132,019x = 285,085 × 285,085
  4. Step 4: Simplify right side
    132,019x = 81,273,457,225
  5. Step 5: Solve for x
    x = 81,273,457,225/132,019
  6. Step 6: Final answer
    x = 615,619.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.