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Finding the Third Proportional to 68,184 and 105,820

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Solution

The third proportional to 68,184 and 105,820 is: 164,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,184 : 105,820 = 105,820 : x
  2. Step 2: Convert to fraction form
    68,184/105,820 = 105,820/x
  3. Step 3: Cross multiply
    68,184x = 105,820 × 105,820
  4. Step 4: Simplify right side
    68,184x = 11,197,872,400
  5. Step 5: Solve for x
    x = 11,197,872,400/68,184
  6. Step 6: Final answer
    x = 164,230.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.