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Finding the Third Proportional to 129,714 and 284,032

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Solution

The third proportional to 129,714 and 284,032 is: 621,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,714 : 284,032 = 284,032 : x
  2. Step 2: Convert to fraction form
    129,714/284,032 = 284,032/x
  3. Step 3: Cross multiply
    129,714x = 284,032 × 284,032
  4. Step 4: Simplify right side
    129,714x = 80,674,177,024
  5. Step 5: Solve for x
    x = 80,674,177,024/129,714
  6. Step 6: Final answer
    x = 621,938.86

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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.