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Finding the Third Proportional to 141,271 and 309,977

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Solution

The third proportional to 141,271 and 309,977 is: 680,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,271 : 309,977 = 309,977 : x
  2. Step 2: Convert to fraction form
    141,271/309,977 = 309,977/x
  3. Step 3: Cross multiply
    141,271x = 309,977 × 309,977
  4. Step 4: Simplify right side
    141,271x = 96,085,740,529
  5. Step 5: Solve for x
    x = 96,085,740,529/141,271
  6. Step 6: Final answer
    x = 680,151.91

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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.