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Finding the Third Proportional to 127,913 and 281,206

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Solution

The third proportional to 127,913 and 281,206 is: 618,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,913 : 281,206 = 281,206 : x
  2. Step 2: Convert to fraction form
    127,913/281,206 = 281,206/x
  3. Step 3: Cross multiply
    127,913x = 281,206 × 281,206
  4. Step 4: Simplify right side
    127,913x = 79,076,814,436
  5. Step 5: Solve for x
    x = 79,076,814,436/127,913
  6. Step 6: Final answer
    x = 618,207.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.