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Finding the Third Proportional to 129,289 and 277,010

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Solution

The third proportional to 129,289 and 277,010 is: 593,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,289 : 277,010 = 277,010 : x
  2. Step 2: Convert to fraction form
    129,289/277,010 = 277,010/x
  3. Step 3: Cross multiply
    129,289x = 277,010 × 277,010
  4. Step 4: Simplify right side
    129,289x = 76,734,540,100
  5. Step 5: Solve for x
    x = 76,734,540,100/129,289
  6. Step 6: Final answer
    x = 593,511.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.