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Finding the Third Proportional to 137,811.38 and 210,714.75

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Solution

The third proportional to 137,811.38 and 210,714.75 is: 322,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,811.38 : 210,714.75 = 210,714.75 : x
  2. Step 2: Convert to fraction form
    137,811.38/210,714.75 = 210,714.75/x
  3. Step 3: Cross multiply
    137,811.38x = 210,714.75 × 210,714.75
  4. Step 4: Simplify right side
    137,811.38x = 44,400,705,867.56
  5. Step 5: Solve for x
    x = 44,400,705,867.56/137,811.38
  6. Step 6: Final answer
    x = 322,184.62

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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.