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Finding the Third Proportional to 94,576 and 205,952

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Solution

The third proportional to 94,576 and 205,952 is: 448,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,576 : 205,952 = 205,952 : x
  2. Step 2: Convert to fraction form
    94,576/205,952 = 205,952/x
  3. Step 3: Cross multiply
    94,576x = 205,952 × 205,952
  4. Step 4: Simplify right side
    94,576x = 42,416,226,304
  5. Step 5: Solve for x
    x = 42,416,226,304/94,576
  6. Step 6: Final answer
    x = 448,488.27

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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.