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Finding the Third Proportional to 47,710 and 103,620

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Solution

The third proportional to 47,710 and 103,620 is: 225,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,710 : 103,620 = 103,620 : x
  2. Step 2: Convert to fraction form
    47,710/103,620 = 103,620/x
  3. Step 3: Cross multiply
    47,710x = 103,620 × 103,620
  4. Step 4: Simplify right side
    47,710x = 10,737,104,400
  5. Step 5: Solve for x
    x = 10,737,104,400/47,710
  6. Step 6: Final answer
    x = 225,049.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.