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Finding the Third Proportional to 220,816 and 478,973

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Solution

The third proportional to 220,816 and 478,973 is: 1,038,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,816 : 478,973 = 478,973 : x
  2. Step 2: Convert to fraction form
    220,816/478,973 = 478,973/x
  3. Step 3: Cross multiply
    220,816x = 478,973 × 478,973
  4. Step 4: Simplify right side
    220,816x = 229,415,134,729
  5. Step 5: Solve for x
    x = 229,415,134,729/220,816
  6. Step 6: Final answer
    x = 1,038,942.53

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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.