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Finding the Third Proportional to 102,448 and 223,576

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Solution

The third proportional to 102,448 and 223,576 is: 487,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,448 : 223,576 = 223,576 : x
  2. Step 2: Convert to fraction form
    102,448/223,576 = 223,576/x
  3. Step 3: Cross multiply
    102,448x = 223,576 × 223,576
  4. Step 4: Simplify right side
    102,448x = 49,986,227,776
  5. Step 5: Solve for x
    x = 49,986,227,776/102,448
  6. Step 6: Final answer
    x = 487,918.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.