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Finding the Third Proportional to 128,554 and 276,842

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Solution

The third proportional to 128,554 and 276,842 is: 596,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,554 : 276,842 = 276,842 : x
  2. Step 2: Convert to fraction form
    128,554/276,842 = 276,842/x
  3. Step 3: Cross multiply
    128,554x = 276,842 × 276,842
  4. Step 4: Simplify right side
    128,554x = 76,641,492,964
  5. Step 5: Solve for x
    x = 76,641,492,964/128,554
  6. Step 6: Final answer
    x = 596,181.32

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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.