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Finding the Third Proportional to 77,366 and 164,048

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Solution

The third proportional to 77,366 and 164,048 is: 347,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,366 : 164,048 = 164,048 : x
  2. Step 2: Convert to fraction form
    77,366/164,048 = 164,048/x
  3. Step 3: Cross multiply
    77,366x = 164,048 × 164,048
  4. Step 4: Simplify right side
    77,366x = 26,911,746,304
  5. Step 5: Solve for x
    x = 26,911,746,304/77,366
  6. Step 6: Final answer
    x = 347,849.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.