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Finding the Third Proportional to 21,050 and 48,737

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Solution

The third proportional to 21,050 and 48,737 is: 112,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,050 : 48,737 = 48,737 : x
  2. Step 2: Convert to fraction form
    21,050/48,737 = 48,737/x
  3. Step 3: Cross multiply
    21,050x = 48,737 × 48,737
  4. Step 4: Simplify right side
    21,050x = 2,375,295,169
  5. Step 5: Solve for x
    x = 2,375,295,169/21,050
  6. Step 6: Final answer
    x = 112,840.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.