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Finding the Third Proportional to 198,972.56 and 429,455.25

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Solution

The third proportional to 198,972.56 and 429,455.25 is: 926,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,972.56 : 429,455.25 = 429,455.25 : x
  2. Step 2: Convert to fraction form
    198,972.56/429,455.25 = 429,455.25/x
  3. Step 3: Cross multiply
    198,972.56x = 429,455.25 × 429,455.25
  4. Step 4: Simplify right side
    198,972.56x = 184,431,811,752.56
  5. Step 5: Solve for x
    x = 184,431,811,752.56/198,972.56
  6. Step 6: Final answer
    x = 926,920.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.