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Finding the Third Proportional to 141,800 and 309,358

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Solution

The third proportional to 141,800 and 309,358 is: 674,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,800 : 309,358 = 309,358 : x
  2. Step 2: Convert to fraction form
    141,800/309,358 = 309,358/x
  3. Step 3: Cross multiply
    141,800x = 309,358 × 309,358
  4. Step 4: Simplify right side
    141,800x = 95,702,372,164
  5. Step 5: Solve for x
    x = 95,702,372,164/141,800
  6. Step 6: Final answer
    x = 674,910.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.