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Finding the Third Proportional to 82,920 and 177,660

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Solution

The third proportional to 82,920 and 177,660 is: 380,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920 : 177,660 = 177,660 : x
  2. Step 2: Convert to fraction form
    82,920/177,660 = 177,660/x
  3. Step 3: Cross multiply
    82,920x = 177,660 × 177,660
  4. Step 4: Simplify right side
    82,920x = 31,563,075,600
  5. Step 5: Solve for x
    x = 31,563,075,600/82,920
  6. Step 6: Final answer
    x = 380,644.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.