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Finding the Third Proportional to 162,220 and 216,991

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Solution

The third proportional to 162,220 and 216,991 is: 290,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,220 : 216,991 = 216,991 : x
  2. Step 2: Convert to fraction form
    162,220/216,991 = 216,991/x
  3. Step 3: Cross multiply
    162,220x = 216,991 × 216,991
  4. Step 4: Simplify right side
    162,220x = 47,085,094,081
  5. Step 5: Solve for x
    x = 47,085,094,081/162,220
  6. Step 6: Final answer
    x = 290,254.56

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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.