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Finding the Third Proportional to 49,291 and 77,221

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Solution

The third proportional to 49,291 and 77,221 is: 120,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,291 : 77,221 = 77,221 : x
  2. Step 2: Convert to fraction form
    49,291/77,221 = 77,221/x
  3. Step 3: Cross multiply
    49,291x = 77,221 × 77,221
  4. Step 4: Simplify right side
    49,291x = 5,963,082,841
  5. Step 5: Solve for x
    x = 5,963,082,841/49,291
  6. Step 6: Final answer
    x = 120,977.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.