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Finding the Third Proportional to 77,256 and 110,268

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Solution

The third proportional to 77,256 and 110,268 is: 157,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,256 : 110,268 = 110,268 : x
  2. Step 2: Convert to fraction form
    77,256/110,268 = 110,268/x
  3. Step 3: Cross multiply
    77,256x = 110,268 × 110,268
  4. Step 4: Simplify right side
    77,256x = 12,159,031,824
  5. Step 5: Solve for x
    x = 12,159,031,824/77,256
  6. Step 6: Final answer
    x = 157,386.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.