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Finding the Third Proportional to 330,079 and 489,124

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Solution

The third proportional to 330,079 and 489,124 is: 724,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,079 : 489,124 = 489,124 : x
  2. Step 2: Convert to fraction form
    330,079/489,124 = 489,124/x
  3. Step 3: Cross multiply
    330,079x = 489,124 × 489,124
  4. Step 4: Simplify right side
    330,079x = 239,242,287,376
  5. Step 5: Solve for x
    x = 239,242,287,376/330,079
  6. Step 6: Final answer
    x = 724,803.11

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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.