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Finding the Third Proportional to 137,853.56 and 210,835.13

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Solution

The third proportional to 137,853.56 and 210,835.13 is: 322,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,853.56 : 210,835.13 = 210,835.13 : x
  2. Step 2: Convert to fraction form
    137,853.56/210,835.13 = 210,835.13/x
  3. Step 3: Cross multiply
    137,853.56x = 210,835.13 × 210,835.13
  4. Step 4: Simplify right side
    137,853.56x = 44,451,449,933.77
  5. Step 5: Solve for x
    x = 44,451,449,933.77/137,853.56
  6. Step 6: Final answer
    x = 322,454.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.