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Finding the Third Proportional to 128,548 and 276,830

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Solution

The third proportional to 128,548 and 276,830 is: 596,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,548 : 276,830 = 276,830 : x
  2. Step 2: Convert to fraction form
    128,548/276,830 = 276,830/x
  3. Step 3: Cross multiply
    128,548x = 276,830 × 276,830
  4. Step 4: Simplify right side
    128,548x = 76,634,848,900
  5. Step 5: Solve for x
    x = 76,634,848,900/128,548
  6. Step 6: Final answer
    x = 596,157.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.