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Finding the Third Proportional to 77,309 and 110,257

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Solution

The third proportional to 77,309 and 110,257 is: 157,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309 : 110,257 = 110,257 : x
  2. Step 2: Convert to fraction form
    77,309/110,257 = 110,257/x
  3. Step 3: Cross multiply
    77,309x = 110,257 × 110,257
  4. Step 4: Simplify right side
    77,309x = 12,156,606,049
  5. Step 5: Solve for x
    x = 12,156,606,049/77,309
  6. Step 6: Final answer
    x = 157,246.97

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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.