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Finding the Third Proportional to 66,858 and 144,165

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Solution

The third proportional to 66,858 and 144,165 is: 310,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,858 : 144,165 = 144,165 : x
  2. Step 2: Convert to fraction form
    66,858/144,165 = 144,165/x
  3. Step 3: Cross multiply
    66,858x = 144,165 × 144,165
  4. Step 4: Simplify right side
    66,858x = 20,783,547,225
  5. Step 5: Solve for x
    x = 20,783,547,225/66,858
  6. Step 6: Final answer
    x = 310,861.04

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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.