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Finding the Third Proportional to 489,464 and 689,282

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Solution

The third proportional to 489,464 and 689,282 is: 970,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,464 : 689,282 = 689,282 : x
  2. Step 2: Convert to fraction form
    489,464/689,282 = 689,282/x
  3. Step 3: Cross multiply
    489,464x = 689,282 × 689,282
  4. Step 4: Simplify right side
    489,464x = 475,109,675,524
  5. Step 5: Solve for x
    x = 475,109,675,524/489,464
  6. Step 6: Final answer
    x = 970,673.38

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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.