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Finding the Third Proportional to 137,700 and 210,624.75

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Solution

The third proportional to 137,700 and 210,624.75 is: 322,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,700 : 210,624.75 = 210,624.75 : x
  2. Step 2: Convert to fraction form
    137,700/210,624.75 = 210,624.75/x
  3. Step 3: Cross multiply
    137,700x = 210,624.75 × 210,624.75
  4. Step 4: Simplify right side
    137,700x = 44,362,785,312.56
  5. Step 5: Solve for x
    x = 44,362,785,312.56/137,700
  6. Step 6: Final answer
    x = 322,169.83

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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.