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Finding the Third Proportional to 198,672.75 and 430,985.25

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Solution

The third proportional to 198,672.75 and 430,985.25 is: 934,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,672.75 : 430,985.25 = 430,985.25 : x
  2. Step 2: Convert to fraction form
    198,672.75/430,985.25 = 430,985.25/x
  3. Step 3: Cross multiply
    198,672.75x = 430,985.25 × 430,985.25
  4. Step 4: Simplify right side
    198,672.75x = 185,748,285,717.56
  5. Step 5: Solve for x
    x = 185,748,285,717.56/198,672.75
  6. Step 6: Final answer
    x = 934,945.96

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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.