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Finding the Third Proportional to 127,145 and 276,430

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Solution

The third proportional to 127,145 and 276,430 is: 600,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,145 : 276,430 = 276,430 : x
  2. Step 2: Convert to fraction form
    127,145/276,430 = 276,430/x
  3. Step 3: Cross multiply
    127,145x = 276,430 × 276,430
  4. Step 4: Simplify right side
    127,145x = 76,413,544,900
  5. Step 5: Solve for x
    x = 76,413,544,900/127,145
  6. Step 6: Final answer
    x = 600,995.28

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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.