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Finding the Third Proportional to 420,612 and 911,172

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Solution

The third proportional to 420,612 and 911,172 is: 1,973,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,612 : 911,172 = 911,172 : x
  2. Step 2: Convert to fraction form
    420,612/911,172 = 911,172/x
  3. Step 3: Cross multiply
    420,612x = 911,172 × 911,172
  4. Step 4: Simplify right side
    420,612x = 830,234,413,584
  5. Step 5: Solve for x
    x = 830,234,413,584/420,612
  6. Step 6: Final answer
    x = 1,973,872.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.