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Finding the Third Proportional to 137,872.13 and 210,817.69

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Solution

The third proportional to 137,872.13 and 210,817.69 is: 322,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872.13 : 210,817.69 = 210,817.69 : x
  2. Step 2: Convert to fraction form
    137,872.13/210,817.69 = 210,817.69/x
  3. Step 3: Cross multiply
    137,872.13x = 210,817.69 × 210,817.69
  4. Step 4: Simplify right side
    137,872.13x = 44,444,097,362.85
  5. Step 5: Solve for x
    x = 44,444,097,362.85/137,872.13
  6. Step 6: Final answer
    x = 322,357.38

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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.