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Finding the Third Proportional to 31,369 and 49,201.50

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Solution

The third proportional to 31,369 and 49,201.50 is: 77,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,369 : 49,201.50 = 49,201.50 : x
  2. Step 2: Convert to fraction form
    31,369/49,201.50 = 49,201.50/x
  3. Step 3: Cross multiply
    31,369x = 49,201.50 × 49,201.50
  4. Step 4: Simplify right side
    31,369x = 2,420,787,602.25
  5. Step 5: Solve for x
    x = 2,420,787,602.25/31,369
  6. Step 6: Final answer
    x = 77,171.33

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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.