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Finding the Third Proportional to 430,072 and 664,811

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Solution

The third proportional to 430,072 and 664,811 is: 1,027,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,072 : 664,811 = 664,811 : x
  2. Step 2: Convert to fraction form
    430,072/664,811 = 664,811/x
  3. Step 3: Cross multiply
    430,072x = 664,811 × 664,811
  4. Step 4: Simplify right side
    430,072x = 441,973,665,721
  5. Step 5: Solve for x
    x = 441,973,665,721/430,072
  6. Step 6: Final answer
    x = 1,027,673.66

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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.