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Finding the Third Proportional to 489,467 and 689,289

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Solution

The third proportional to 489,467 and 689,289 is: 970,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,467 : 689,289 = 689,289 : x
  2. Step 2: Convert to fraction form
    489,467/689,289 = 689,289/x
  3. Step 3: Cross multiply
    489,467x = 689,289 × 689,289
  4. Step 4: Simplify right side
    489,467x = 475,119,325,521
  5. Step 5: Solve for x
    x = 475,119,325,521/489,467
  6. Step 6: Final answer
    x = 970,687.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.