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Finding the Third Proportional to 198,338 and 435,862

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Solution

The third proportional to 198,338 and 435,862 is: 957,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,338 : 435,862 = 435,862 : x
  2. Step 2: Convert to fraction form
    198,338/435,862 = 435,862/x
  3. Step 3: Cross multiply
    198,338x = 435,862 × 435,862
  4. Step 4: Simplify right side
    198,338x = 189,975,683,044
  5. Step 5: Solve for x
    x = 189,975,683,044/198,338
  6. Step 6: Final answer
    x = 957,838.05

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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.