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Finding the Third Proportional to 141,453 and 212,178

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Solution

The third proportional to 141,453 and 212,178 is: 318,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,453 : 212,178 = 212,178 : x
  2. Step 2: Convert to fraction form
    141,453/212,178 = 212,178/x
  3. Step 3: Cross multiply
    141,453x = 212,178 × 212,178
  4. Step 4: Simplify right side
    141,453x = 45,019,503,684
  5. Step 5: Solve for x
    x = 45,019,503,684/141,453
  6. Step 6: Final answer
    x = 318,264.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.