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Finding the Third Proportional to 199,068 and 433,128

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Solution

The third proportional to 199,068 and 433,128 is: 942,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,068 : 433,128 = 433,128 : x
  2. Step 2: Convert to fraction form
    199,068/433,128 = 433,128/x
  3. Step 3: Cross multiply
    199,068x = 433,128 × 433,128
  4. Step 4: Simplify right side
    199,068x = 187,599,864,384
  5. Step 5: Solve for x
    x = 187,599,864,384/199,068
  6. Step 6: Final answer
    x = 942,390.86

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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.