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Finding the Third Proportional to 489,384 and 689,168.25

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Solution

The third proportional to 489,384 and 689,168.25 is: 970,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,384 : 689,168.25 = 689,168.25 : x
  2. Step 2: Convert to fraction form
    489,384/689,168.25 = 689,168.25/x
  3. Step 3: Cross multiply
    489,384x = 689,168.25 × 689,168.25
  4. Step 4: Simplify right side
    489,384x = 474,952,876,808.06
  5. Step 5: Solve for x
    x = 474,952,876,808.06/489,384
  6. Step 6: Final answer
    x = 970,511.66

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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.