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Finding the Third Proportional to 366,875 and 489,212

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Solution

The third proportional to 366,875 and 489,212 is: 652,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,875 : 489,212 = 489,212 : x
  2. Step 2: Convert to fraction form
    366,875/489,212 = 489,212/x
  3. Step 3: Cross multiply
    366,875x = 489,212 × 489,212
  4. Step 4: Simplify right side
    366,875x = 239,328,380,944
  5. Step 5: Solve for x
    x = 239,328,380,944/366,875
  6. Step 6: Final answer
    x = 652,343.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.