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Finding the Third Proportional to 77,100 and 160,356

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Solution

The third proportional to 77,100 and 160,356 is: 333,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100 : 160,356 = 160,356 : x
  2. Step 2: Convert to fraction form
    77,100/160,356 = 160,356/x
  3. Step 3: Cross multiply
    77,100x = 160,356 × 160,356
  4. Step 4: Simplify right side
    77,100x = 25,714,046,736
  5. Step 5: Solve for x
    x = 25,714,046,736/77,100
  6. Step 6: Final answer
    x = 333,515.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.