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Finding the Third Proportional to 201,071 and 433,032

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Solution

The third proportional to 201,071 and 433,032 is: 932,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,071 : 433,032 = 433,032 : x
  2. Step 2: Convert to fraction form
    201,071/433,032 = 433,032/x
  3. Step 3: Cross multiply
    201,071x = 433,032 × 433,032
  4. Step 4: Simplify right side
    201,071x = 187,516,713,024
  5. Step 5: Solve for x
    x = 187,516,713,024/201,071
  6. Step 6: Final answer
    x = 932,589.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.