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Finding the Third Proportional to 129,925.50 and 284,676

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Solution

The third proportional to 129,925.50 and 284,676 is: 623,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,925.50 : 284,676 = 284,676 : x
  2. Step 2: Convert to fraction form
    129,925.50/284,676 = 284,676/x
  3. Step 3: Cross multiply
    129,925.50x = 284,676 × 284,676
  4. Step 4: Simplify right side
    129,925.50x = 81,040,424,976
  5. Step 5: Solve for x
    x = 81,040,424,976/129,925.50
  6. Step 6: Final answer
    x = 623,745.34

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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.