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Finding the Third Proportional to 198,854 and 431,584

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Solution

The third proportional to 198,854 and 431,584 is: 936,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,854 : 431,584 = 431,584 : x
  2. Step 2: Convert to fraction form
    198,854/431,584 = 431,584/x
  3. Step 3: Cross multiply
    198,854x = 431,584 × 431,584
  4. Step 4: Simplify right side
    198,854x = 186,264,749,056
  5. Step 5: Solve for x
    x = 186,264,749,056/198,854
  6. Step 6: Final answer
    x = 936,690.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.