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Finding the Third Proportional to 69,780 and 164,562

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Solution

The third proportional to 69,780 and 164,562 is: 388,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,780 : 164,562 = 164,562 : x
  2. Step 2: Convert to fraction form
    69,780/164,562 = 164,562/x
  3. Step 3: Cross multiply
    69,780x = 164,562 × 164,562
  4. Step 4: Simplify right side
    69,780x = 27,080,651,844
  5. Step 5: Solve for x
    x = 27,080,651,844/69,780
  6. Step 6: Final answer
    x = 388,086.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.