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Finding the Third Proportional to 200,044 and 433,986

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Solution

The third proportional to 200,044 and 433,986 is: 941,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,044 : 433,986 = 433,986 : x
  2. Step 2: Convert to fraction form
    200,044/433,986 = 433,986/x
  3. Step 3: Cross multiply
    200,044x = 433,986 × 433,986
  4. Step 4: Simplify right side
    200,044x = 188,343,848,196
  5. Step 5: Solve for x
    x = 188,343,848,196/200,044
  6. Step 6: Final answer
    x = 941,512.11

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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.