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Finding the Third Proportional to 356,706 and 489,132

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Solution

The third proportional to 356,706 and 489,132 is: 670,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,706 : 489,132 = 489,132 : x
  2. Step 2: Convert to fraction form
    356,706/489,132 = 489,132/x
  3. Step 3: Cross multiply
    356,706x = 489,132 × 489,132
  4. Step 4: Simplify right side
    356,706x = 239,250,113,424
  5. Step 5: Solve for x
    x = 239,250,113,424/356,706
  6. Step 6: Final answer
    x = 670,720.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.