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Finding the Third Proportional to 127,770 and 268,782

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Solution

The third proportional to 127,770 and 268,782 is: 565,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,770 : 268,782 = 268,782 : x
  2. Step 2: Convert to fraction form
    127,770/268,782 = 268,782/x
  3. Step 3: Cross multiply
    127,770x = 268,782 × 268,782
  4. Step 4: Simplify right side
    127,770x = 72,243,763,524
  5. Step 5: Solve for x
    x = 72,243,763,524/127,770
  6. Step 6: Final answer
    x = 565,420.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.