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Finding the Third Proportional to 129,020 and 282,824

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Solution

The third proportional to 129,020 and 282,824 is: 619,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,020 : 282,824 = 282,824 : x
  2. Step 2: Convert to fraction form
    129,020/282,824 = 282,824/x
  3. Step 3: Cross multiply
    129,020x = 282,824 × 282,824
  4. Step 4: Simplify right side
    129,020x = 79,989,414,976
  5. Step 5: Solve for x
    x = 79,989,414,976/129,020
  6. Step 6: Final answer
    x = 619,976.86

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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.