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Finding the Third Proportional to 132,087 and 285,222

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Solution

The third proportional to 132,087 and 285,222 is: 615,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,087 : 285,222 = 285,222 : x
  2. Step 2: Convert to fraction form
    132,087/285,222 = 285,222/x
  3. Step 3: Cross multiply
    132,087x = 285,222 × 285,222
  4. Step 4: Simplify right side
    132,087x = 81,351,589,284
  5. Step 5: Solve for x
    x = 81,351,589,284/132,087
  6. Step 6: Final answer
    x = 615,893.99

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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.