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Finding the Third Proportional to 315,381 and 489,681

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Solution

The third proportional to 315,381 and 489,681 is: 760,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,381 : 489,681 = 489,681 : x
  2. Step 2: Convert to fraction form
    315,381/489,681 = 489,681/x
  3. Step 3: Cross multiply
    315,381x = 489,681 × 489,681
  4. Step 4: Simplify right side
    315,381x = 239,787,481,761
  5. Step 5: Solve for x
    x = 239,787,481,761/315,381
  6. Step 6: Final answer
    x = 760,310.49

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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.