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Finding the Third Proportional to 66,814 and 155,371

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Solution

The third proportional to 66,814 and 155,371 is: 361,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,814 : 155,371 = 155,371 : x
  2. Step 2: Convert to fraction form
    66,814/155,371 = 155,371/x
  3. Step 3: Cross multiply
    66,814x = 155,371 × 155,371
  4. Step 4: Simplify right side
    66,814x = 24,140,147,641
  5. Step 5: Solve for x
    x = 24,140,147,641/66,814
  6. Step 6: Final answer
    x = 361,303.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.