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Finding the Third Proportional to 198,661.50 and 430,326

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Solution

The third proportional to 198,661.50 and 430,326 is: 932,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,661.50 : 430,326 = 430,326 : x
  2. Step 2: Convert to fraction form
    198,661.50/430,326 = 430,326/x
  3. Step 3: Cross multiply
    198,661.50x = 430,326 × 430,326
  4. Step 4: Simplify right side
    198,661.50x = 185,180,466,276
  5. Step 5: Solve for x
    x = 185,180,466,276/198,661.50
  6. Step 6: Final answer
    x = 932,140.68

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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.