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Finding the Third Proportional to 129,129 and 281,130

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Solution

The third proportional to 129,129 and 281,130 is: 612,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,129 : 281,130 = 281,130 : x
  2. Step 2: Convert to fraction form
    129,129/281,130 = 281,130/x
  3. Step 3: Cross multiply
    129,129x = 281,130 × 281,130
  4. Step 4: Simplify right side
    129,129x = 79,034,076,900
  5. Step 5: Solve for x
    x = 79,034,076,900/129,129
  6. Step 6: Final answer
    x = 612,055.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.