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Finding the Third Proportional to 129,722 and 284,048

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Solution

The third proportional to 129,722 and 284,048 is: 621,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,722 : 284,048 = 284,048 : x
  2. Step 2: Convert to fraction form
    129,722/284,048 = 284,048/x
  3. Step 3: Cross multiply
    129,722x = 284,048 × 284,048
  4. Step 4: Simplify right side
    129,722x = 80,683,266,304
  5. Step 5: Solve for x
    x = 80,683,266,304/129,722
  6. Step 6: Final answer
    x = 621,970.57

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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.