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Finding the Third Proportional to 198,081 and 435,528

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Solution

The third proportional to 198,081 and 435,528 is: 957,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,081 : 435,528 = 435,528 : x
  2. Step 2: Convert to fraction form
    198,081/435,528 = 435,528/x
  3. Step 3: Cross multiply
    198,081x = 435,528 × 435,528
  4. Step 4: Simplify right side
    198,081x = 189,684,638,784
  5. Step 5: Solve for x
    x = 189,684,638,784/198,081
  6. Step 6: Final answer
    x = 957,611.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.