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Finding the Third Proportional to 162,720 and 251,932

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Solution

The third proportional to 162,720 and 251,932 is: 390,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,720 : 251,932 = 251,932 : x
  2. Step 2: Convert to fraction form
    162,720/251,932 = 251,932/x
  3. Step 3: Cross multiply
    162,720x = 251,932 × 251,932
  4. Step 4: Simplify right side
    162,720x = 63,469,732,624
  5. Step 5: Solve for x
    x = 63,469,732,624/162,720
  6. Step 6: Final answer
    x = 390,054.90

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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.