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Finding the Third Proportional to 162,396 and 252,435

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Solution

The third proportional to 162,396 and 252,435 is: 392,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,396 : 252,435 = 252,435 : x
  2. Step 2: Convert to fraction form
    162,396/252,435 = 252,435/x
  3. Step 3: Cross multiply
    162,396x = 252,435 × 252,435
  4. Step 4: Simplify right side
    162,396x = 63,723,429,225
  5. Step 5: Solve for x
    x = 63,723,429,225/162,396
  6. Step 6: Final answer
    x = 392,395.31

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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.