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Finding the Third Proportional to 489,426 and 689,229

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Solution

The third proportional to 489,426 and 689,229 is: 970,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,426 : 689,229 = 689,229 : x
  2. Step 2: Convert to fraction form
    489,426/689,229 = 689,229/x
  3. Step 3: Cross multiply
    489,426x = 689,229 × 689,229
  4. Step 4: Simplify right side
    489,426x = 475,036,614,441
  5. Step 5: Solve for x
    x = 475,036,614,441/489,426
  6. Step 6: Final answer
    x = 970,599.47

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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.