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Finding the Third Proportional to 35,820 and 81,207

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Solution

The third proportional to 35,820 and 81,207 is: 184,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820 : 81,207 = 81,207 : x
  2. Step 2: Convert to fraction form
    35,820/81,207 = 81,207/x
  3. Step 3: Cross multiply
    35,820x = 81,207 × 81,207
  4. Step 4: Simplify right side
    35,820x = 6,594,576,849
  5. Step 5: Solve for x
    x = 6,594,576,849/35,820
  6. Step 6: Final answer
    x = 184,103.21

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.