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Finding the Third Proportional to 47,210 and 102,638

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Solution

The third proportional to 47,210 and 102,638 is: 223,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,210 : 102,638 = 102,638 : x
  2. Step 2: Convert to fraction form
    47,210/102,638 = 102,638/x
  3. Step 3: Cross multiply
    47,210x = 102,638 × 102,638
  4. Step 4: Simplify right side
    47,210x = 10,534,559,044
  5. Step 5: Solve for x
    x = 10,534,559,044/47,210
  6. Step 6: Final answer
    x = 223,142.53

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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.