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Finding the Third Proportional to 198,438 and 288,897

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Solution

The third proportional to 198,438 and 288,897 is: 420,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,438 : 288,897 = 288,897 : x
  2. Step 2: Convert to fraction form
    198,438/288,897 = 288,897/x
  3. Step 3: Cross multiply
    198,438x = 288,897 × 288,897
  4. Step 4: Simplify right side
    198,438x = 83,461,476,609
  5. Step 5: Solve for x
    x = 83,461,476,609/198,438
  6. Step 6: Final answer
    x = 420,592.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.