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Finding the Third Proportional to 201,602 and 331,959

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Solution

The third proportional to 201,602 and 331,959 is: 546,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,602 : 331,959 = 331,959 : x
  2. Step 2: Convert to fraction form
    201,602/331,959 = 331,959/x
  3. Step 3: Cross multiply
    201,602x = 331,959 × 331,959
  4. Step 4: Simplify right side
    201,602x = 110,196,777,681
  5. Step 5: Solve for x
    x = 110,196,777,681/201,602
  6. Step 6: Final answer
    x = 546,605.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.