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Finding the Third Proportional to 129,721 and 284,046

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Solution

The third proportional to 129,721 and 284,046 is: 621,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,721 : 284,046 = 284,046 : x
  2. Step 2: Convert to fraction form
    129,721/284,046 = 284,046/x
  3. Step 3: Cross multiply
    129,721x = 284,046 × 284,046
  4. Step 4: Simplify right side
    129,721x = 80,682,130,116
  5. Step 5: Solve for x
    x = 80,682,130,116/129,721
  6. Step 6: Final answer
    x = 621,966.61

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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.