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Finding the Third Proportional to 316,648 and 489,672

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Solution

The third proportional to 316,648 and 489,672 is: 757,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,648 : 489,672 = 489,672 : x
  2. Step 2: Convert to fraction form
    316,648/489,672 = 489,672/x
  3. Step 3: Cross multiply
    316,648x = 489,672 × 489,672
  4. Step 4: Simplify right side
    316,648x = 239,778,667,584
  5. Step 5: Solve for x
    x = 239,778,667,584/316,648
  6. Step 6: Final answer
    x = 757,240.43

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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.