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Finding the Third Proportional to 83,087 and 181,213

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Solution

The third proportional to 83,087 and 181,213 is: 395,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,087 : 181,213 = 181,213 : x
  2. Step 2: Convert to fraction form
    83,087/181,213 = 181,213/x
  3. Step 3: Cross multiply
    83,087x = 181,213 × 181,213
  4. Step 4: Simplify right side
    83,087x = 32,838,151,369
  5. Step 5: Solve for x
    x = 32,838,151,369/83,087
  6. Step 6: Final answer
    x = 395,226.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.