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Finding the Third Proportional to 127,766 and 271,921

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Solution

The third proportional to 127,766 and 271,921 is: 578,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,766 : 271,921 = 271,921 : x
  2. Step 2: Convert to fraction form
    127,766/271,921 = 271,921/x
  3. Step 3: Cross multiply
    127,766x = 271,921 × 271,921
  4. Step 4: Simplify right side
    127,766x = 73,941,030,241
  5. Step 5: Solve for x
    x = 73,941,030,241/127,766
  6. Step 6: Final answer
    x = 578,722.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.