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Finding the Third Proportional to 489,451.50 and 689,269.50

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Solution

The third proportional to 489,451.50 and 689,269.50 is: 970,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,451.50 : 689,269.50 = 689,269.50 : x
  2. Step 2: Convert to fraction form
    489,451.50/689,269.50 = 689,269.50/x
  3. Step 3: Cross multiply
    489,451.50x = 689,269.50 × 689,269.50
  4. Step 4: Simplify right side
    489,451.50x = 475,092,443,630.25
  5. Step 5: Solve for x
    x = 475,092,443,630.25/489,451.50
  6. Step 6: Final answer
    x = 970,662.96

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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.