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Finding the Third Proportional to 171,076 and 411,622

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Solution

The third proportional to 171,076 and 411,622 is: 990,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,076 : 411,622 = 411,622 : x
  2. Step 2: Convert to fraction form
    171,076/411,622 = 411,622/x
  3. Step 3: Cross multiply
    171,076x = 411,622 × 411,622
  4. Step 4: Simplify right side
    171,076x = 169,432,670,884
  5. Step 5: Solve for x
    x = 169,432,670,884/171,076
  6. Step 6: Final answer
    x = 990,394.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.