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Finding the Third Proportional to 50,718 and 78,263

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Solution

The third proportional to 50,718 and 78,263 is: 120,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,718 : 78,263 = 78,263 : x
  2. Step 2: Convert to fraction form
    50,718/78,263 = 78,263/x
  3. Step 3: Cross multiply
    50,718x = 78,263 × 78,263
  4. Step 4: Simplify right side
    50,718x = 6,125,097,169
  5. Step 5: Solve for x
    x = 6,125,097,169/50,718
  6. Step 6: Final answer
    x = 120,767.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.