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Finding the Third Proportional to 137,622 and 218,952

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Solution

The third proportional to 137,622 and 218,952 is: 348,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,622 : 218,952 = 218,952 : x
  2. Step 2: Convert to fraction form
    137,622/218,952 = 218,952/x
  3. Step 3: Cross multiply
    137,622x = 218,952 × 218,952
  4. Step 4: Simplify right side
    137,622x = 47,939,978,304
  5. Step 5: Solve for x
    x = 47,939,978,304/137,622
  6. Step 6: Final answer
    x = 348,345.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.