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Finding the Third Proportional to 137,817 and 206,727.75

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Solution

The third proportional to 137,817 and 206,727.75 is: 310,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,817 : 206,727.75 = 206,727.75 : x
  2. Step 2: Convert to fraction form
    137,817/206,727.75 = 206,727.75/x
  3. Step 3: Cross multiply
    137,817x = 206,727.75 × 206,727.75
  4. Step 4: Simplify right side
    137,817x = 42,736,362,620.06
  5. Step 5: Solve for x
    x = 42,736,362,620.06/137,817
  6. Step 6: Final answer
    x = 310,095.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.