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Finding the Third Proportional to 198,114.75 and 431,586

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Solution

The third proportional to 198,114.75 and 431,586 is: 940,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,114.75 : 431,586 = 431,586 : x
  2. Step 2: Convert to fraction form
    198,114.75/431,586 = 431,586/x
  3. Step 3: Cross multiply
    198,114.75x = 431,586 × 431,586
  4. Step 4: Simplify right side
    198,114.75x = 186,266,475,396
  5. Step 5: Solve for x
    x = 186,266,475,396/198,114.75
  6. Step 6: Final answer
    x = 940,194.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.