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Finding the Third Proportional to 171,402 and 351,156

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Solution

The third proportional to 171,402 and 351,156 is: 719,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,402 : 351,156 = 351,156 : x
  2. Step 2: Convert to fraction form
    171,402/351,156 = 351,156/x
  3. Step 3: Cross multiply
    171,402x = 351,156 × 351,156
  4. Step 4: Simplify right side
    171,402x = 123,310,536,336
  5. Step 5: Solve for x
    x = 123,310,536,336/171,402
  6. Step 6: Final answer
    x = 719,422.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.