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Finding the Third Proportional to 137,178.50 and 206,133

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Solution

The third proportional to 137,178.50 and 206,133 is: 309,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.50 : 206,133 = 206,133 : x
  2. Step 2: Convert to fraction form
    137,178.50/206,133 = 206,133/x
  3. Step 3: Cross multiply
    137,178.50x = 206,133 × 206,133
  4. Step 4: Simplify right side
    137,178.50x = 42,490,813,689
  5. Step 5: Solve for x
    x = 42,490,813,689/137,178.50
  6. Step 6: Final answer
    x = 309,748.35

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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.