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Finding the Third Proportional to 276,609.50 and 420,653

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Solution

The third proportional to 276,609.50 and 420,653 is: 639,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,609.50 : 420,653 = 420,653 : x
  2. Step 2: Convert to fraction form
    276,609.50/420,653 = 420,653/x
  3. Step 3: Cross multiply
    276,609.50x = 420,653 × 420,653
  4. Step 4: Simplify right side
    276,609.50x = 176,948,946,409
  5. Step 5: Solve for x
    x = 176,948,946,409/276,609.50
  6. Step 6: Final answer
    x = 639,706.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.