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Finding the Third Proportional to 50,959 and 77,207

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Solution

The third proportional to 50,959 and 77,207 is: 116,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,959 : 77,207 = 77,207 : x
  2. Step 2: Convert to fraction form
    50,959/77,207 = 77,207/x
  3. Step 3: Cross multiply
    50,959x = 77,207 × 77,207
  4. Step 4: Simplify right side
    50,959x = 5,960,920,849
  5. Step 5: Solve for x
    x = 5,960,920,849/50,959
  6. Step 6: Final answer
    x = 116,974.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.