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Finding the Third Proportional to 199,069 and 433,129

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Solution

The third proportional to 199,069 and 433,129 is: 942,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,069 : 433,129 = 433,129 : x
  2. Step 2: Convert to fraction form
    199,069/433,129 = 433,129/x
  3. Step 3: Cross multiply
    199,069x = 433,129 × 433,129
  4. Step 4: Simplify right side
    199,069x = 187,600,730,641
  5. Step 5: Solve for x
    x = 187,600,730,641/199,069
  6. Step 6: Final answer
    x = 942,390.48

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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.