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Finding the Third Proportional to 163,132 and 219,546

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Solution

The third proportional to 163,132 and 219,546 is: 295,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,132 : 219,546 = 219,546 : x
  2. Step 2: Convert to fraction form
    163,132/219,546 = 219,546/x
  3. Step 3: Cross multiply
    163,132x = 219,546 × 219,546
  4. Step 4: Simplify right side
    163,132x = 48,200,446,116
  5. Step 5: Solve for x
    x = 48,200,446,116/163,132
  6. Step 6: Final answer
    x = 295,468.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.