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Finding the Third Proportional to 127,140 and 276,416

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Solution

The third proportional to 127,140 and 276,416 is: 600,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,140 : 276,416 = 276,416 : x
  2. Step 2: Convert to fraction form
    127,140/276,416 = 276,416/x
  3. Step 3: Cross multiply
    127,140x = 276,416 × 276,416
  4. Step 4: Simplify right side
    127,140x = 76,405,805,056
  5. Step 5: Solve for x
    x = 76,405,805,056/127,140
  6. Step 6: Final answer
    x = 600,958.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.