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Finding the Third Proportional to 228,051 and 489,310

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Solution

The third proportional to 228,051 and 489,310 is: 1,049,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051 : 489,310 = 489,310 : x
  2. Step 2: Convert to fraction form
    228,051/489,310 = 489,310/x
  3. Step 3: Cross multiply
    228,051x = 489,310 × 489,310
  4. Step 4: Simplify right side
    228,051x = 239,424,276,100
  5. Step 5: Solve for x
    x = 239,424,276,100/228,051
  6. Step 6: Final answer
    x = 1,049,871.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.