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Finding the Third Proportional to 102,120 and 220,638

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Solution

The third proportional to 102,120 and 220,638 is: 476,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120 : 220,638 = 220,638 : x
  2. Step 2: Convert to fraction form
    102,120/220,638 = 220,638/x
  3. Step 3: Cross multiply
    102,120x = 220,638 × 220,638
  4. Step 4: Simplify right side
    102,120x = 48,681,127,044
  5. Step 5: Solve for x
    x = 48,681,127,044/102,120
  6. Step 6: Final answer
    x = 476,705.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.