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Finding the Third Proportional to 330,078 and 489,123

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Solution

The third proportional to 330,078 and 489,123 is: 724,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,078 : 489,123 = 489,123 : x
  2. Step 2: Convert to fraction form
    330,078/489,123 = 489,123/x
  3. Step 3: Cross multiply
    330,078x = 489,123 × 489,123
  4. Step 4: Simplify right side
    330,078x = 239,241,309,129
  5. Step 5: Solve for x
    x = 239,241,309,129/330,078
  6. Step 6: Final answer
    x = 724,802.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.