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Finding the Third Proportional to 163,636 and 220,988

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Solution

The third proportional to 163,636 and 220,988 is: 298,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,636 : 220,988 = 220,988 : x
  2. Step 2: Convert to fraction form
    163,636/220,988 = 220,988/x
  3. Step 3: Cross multiply
    163,636x = 220,988 × 220,988
  4. Step 4: Simplify right side
    163,636x = 48,835,696,144
  5. Step 5: Solve for x
    x = 48,835,696,144/163,636
  6. Step 6: Final answer
    x = 298,441.03

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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.