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Finding the Third Proportional to 141,400 and 307,676

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Solution

The third proportional to 141,400 and 307,676 is: 669,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,400 : 307,676 = 307,676 : x
  2. Step 2: Convert to fraction form
    141,400/307,676 = 307,676/x
  3. Step 3: Cross multiply
    141,400x = 307,676 × 307,676
  4. Step 4: Simplify right side
    141,400x = 94,664,520,976
  5. Step 5: Solve for x
    x = 94,664,520,976/141,400
  6. Step 6: Final answer
    x = 669,480.35

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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.