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Finding the Third Proportional to 203,482 and 315,447

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Solution

The third proportional to 203,482 and 315,447 is: 489,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482 : 315,447 = 315,447 : x
  2. Step 2: Convert to fraction form
    203,482/315,447 = 315,447/x
  3. Step 3: Cross multiply
    203,482x = 315,447 × 315,447
  4. Step 4: Simplify right side
    203,482x = 99,506,809,809
  5. Step 5: Solve for x
    x = 99,506,809,809/203,482
  6. Step 6: Final answer
    x = 489,020.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.