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Finding the Third Proportional to 430,020 and 667,206

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Solution

The third proportional to 430,020 and 667,206 is: 1,035,216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,020 : 667,206 = 667,206 : x
  2. Step 2: Convert to fraction form
    430,020/667,206 = 667,206/x
  3. Step 3: Cross multiply
    430,020x = 667,206 × 667,206
  4. Step 4: Simplify right side
    430,020x = 445,163,846,436
  5. Step 5: Solve for x
    x = 445,163,846,436/430,020
  6. Step 6: Final answer
    x = 1,035,216.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.