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Finding the Third Proportional to 129,950 and 284,718

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Solution

The third proportional to 129,950 and 284,718 is: 623,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,950 : 284,718 = 284,718 : x
  2. Step 2: Convert to fraction form
    129,950/284,718 = 284,718/x
  3. Step 3: Cross multiply
    129,950x = 284,718 × 284,718
  4. Step 4: Simplify right side
    129,950x = 81,064,339,524
  5. Step 5: Solve for x
    x = 81,064,339,524/129,950
  6. Step 6: Final answer
    x = 623,811.77

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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.