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Finding the Third Proportional to 66,544 and 145,416

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Solution

The third proportional to 66,544 and 145,416 is: 317,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,544 : 145,416 = 145,416 : x
  2. Step 2: Convert to fraction form
    66,544/145,416 = 145,416/x
  3. Step 3: Cross multiply
    66,544x = 145,416 × 145,416
  4. Step 4: Simplify right side
    66,544x = 21,145,813,056
  5. Step 5: Solve for x
    x = 21,145,813,056/66,544
  6. Step 6: Final answer
    x = 317,771.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.