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Finding the Third Proportional to 138,304.75 and 210,326.88

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Solution

The third proportional to 138,304.75 and 210,326.88 is: 319,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,304.75 : 210,326.88 = 210,326.88 : x
  2. Step 2: Convert to fraction form
    138,304.75/210,326.88 = 210,326.88/x
  3. Step 3: Cross multiply
    138,304.75x = 210,326.88 × 210,326.88
  4. Step 4: Simplify right side
    138,304.75x = 44,237,394,347.27
  5. Step 5: Solve for x
    x = 44,237,394,347.27/138,304.75
  6. Step 6: Final answer
    x = 319,854.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.