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Finding the Third Proportional to 315,486 and 489,435

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Solution

The third proportional to 315,486 and 489,435 is: 759,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,486 : 489,435 = 489,435 : x
  2. Step 2: Convert to fraction form
    315,486/489,435 = 489,435/x
  3. Step 3: Cross multiply
    315,486x = 489,435 × 489,435
  4. Step 4: Simplify right side
    315,486x = 239,546,619,225
  5. Step 5: Solve for x
    x = 239,546,619,225/315,486
  6. Step 6: Final answer
    x = 759,293.98

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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.