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Finding the Third Proportional to 200,045 and 433,989

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Solution

The third proportional to 200,045 and 433,989 is: 941,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,045 : 433,989 = 433,989 : x
  2. Step 2: Convert to fraction form
    200,045/433,989 = 433,989/x
  3. Step 3: Cross multiply
    200,045x = 433,989 × 433,989
  4. Step 4: Simplify right side
    200,045x = 188,346,452,121
  5. Step 5: Solve for x
    x = 188,346,452,121/200,045
  6. Step 6: Final answer
    x = 941,520.42

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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.