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Finding the Third Proportional to 138,848 and 309,952

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Solution

The third proportional to 138,848 and 309,952 is: 691,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,848 : 309,952 = 309,952 : x
  2. Step 2: Convert to fraction form
    138,848/309,952 = 309,952/x
  3. Step 3: Cross multiply
    138,848x = 309,952 × 309,952
  4. Step 4: Simplify right side
    138,848x = 96,070,242,304
  5. Step 5: Solve for x
    x = 96,070,242,304/138,848
  6. Step 6: Final answer
    x = 691,909.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.