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Finding the Third Proportional to 100,788 and 220,728

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Solution

The third proportional to 100,788 and 220,728 is: 483,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,788 : 220,728 = 220,728 : x
  2. Step 2: Convert to fraction form
    100,788/220,728 = 220,728/x
  3. Step 3: Cross multiply
    100,788x = 220,728 × 220,728
  4. Step 4: Simplify right side
    100,788x = 48,720,849,984
  5. Step 5: Solve for x
    x = 48,720,849,984/100,788
  6. Step 6: Final answer
    x = 483,399.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.