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Finding the Third Proportional to 221,445 and 324,786

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Solution

The third proportional to 221,445 and 324,786 is: 476,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,445 : 324,786 = 324,786 : x
  2. Step 2: Convert to fraction form
    221,445/324,786 = 324,786/x
  3. Step 3: Cross multiply
    221,445x = 324,786 × 324,786
  4. Step 4: Simplify right side
    221,445x = 105,485,945,796
  5. Step 5: Solve for x
    x = 105,485,945,796/221,445
  6. Step 6: Final answer
    x = 476,352.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.