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Finding the Third Proportional to 162,220 and 216,993

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Solution

The third proportional to 162,220 and 216,993 is: 290,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,220 : 216,993 = 216,993 : x
  2. Step 2: Convert to fraction form
    162,220/216,993 = 216,993/x
  3. Step 3: Cross multiply
    162,220x = 216,993 × 216,993
  4. Step 4: Simplify right side
    162,220x = 47,085,962,049
  5. Step 5: Solve for x
    x = 47,085,962,049/162,220
  6. Step 6: Final answer
    x = 290,259.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.