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Finding the Third Proportional to 266,530 and 423,682

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Solution

The third proportional to 266,530 and 423,682 is: 673,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,530 : 423,682 = 423,682 : x
  2. Step 2: Convert to fraction form
    266,530/423,682 = 423,682/x
  3. Step 3: Cross multiply
    266,530x = 423,682 × 423,682
  4. Step 4: Simplify right side
    266,530x = 179,506,437,124
  5. Step 5: Solve for x
    x = 179,506,437,124/266,530
  6. Step 6: Final answer
    x = 673,494.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.