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Finding the Third Proportional to 200,043 and 433,985

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Solution

The third proportional to 200,043 and 433,985 is: 941,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,043 : 433,985 = 433,985 : x
  2. Step 2: Convert to fraction form
    200,043/433,985 = 433,985/x
  3. Step 3: Cross multiply
    200,043x = 433,985 × 433,985
  4. Step 4: Simplify right side
    200,043x = 188,342,980,225
  5. Step 5: Solve for x
    x = 188,342,980,225/200,043
  6. Step 6: Final answer
    x = 941,512.48

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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.