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Finding the Third Proportional to 199,403 and 433,798

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Solution

The third proportional to 199,403 and 433,798 is: 943,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,403 : 433,798 = 433,798 : x
  2. Step 2: Convert to fraction form
    199,403/433,798 = 433,798/x
  3. Step 3: Cross multiply
    199,403x = 433,798 × 433,798
  4. Step 4: Simplify right side
    199,403x = 188,180,704,804
  5. Step 5: Solve for x
    x = 188,180,704,804/199,403
  6. Step 6: Final answer
    x = 943,720.53

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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.