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Finding the Third Proportional to 163,622 and 218,946

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Solution

The third proportional to 163,622 and 218,946 is: 292,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,622 : 218,946 = 218,946 : x
  2. Step 2: Convert to fraction form
    163,622/218,946 = 218,946/x
  3. Step 3: Cross multiply
    163,622x = 218,946 × 218,946
  4. Step 4: Simplify right side
    163,622x = 47,937,350,916
  5. Step 5: Solve for x
    x = 47,937,350,916/163,622
  6. Step 6: Final answer
    x = 292,976.19

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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.