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Finding the Third Proportional to 309,703 and 489,483

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Solution

The third proportional to 309,703 and 489,483 is: 773,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,703 : 489,483 = 489,483 : x
  2. Step 2: Convert to fraction form
    309,703/489,483 = 489,483/x
  3. Step 3: Cross multiply
    309,703x = 489,483 × 489,483
  4. Step 4: Simplify right side
    309,703x = 239,593,607,289
  5. Step 5: Solve for x
    x = 239,593,607,289/309,703
  6. Step 6: Final answer
    x = 773,623.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.