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Finding the Third Proportional to 363,684 and 489,210

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Solution

The third proportional to 363,684 and 489,210 is: 658,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,684 : 489,210 = 489,210 : x
  2. Step 2: Convert to fraction form
    363,684/489,210 = 489,210/x
  3. Step 3: Cross multiply
    363,684x = 489,210 × 489,210
  4. Step 4: Simplify right side
    363,684x = 239,326,424,100
  5. Step 5: Solve for x
    x = 239,326,424,100/363,684
  6. Step 6: Final answer
    x = 658,061.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.