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Finding the Third Proportional to 333,265 and 476,236.50

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Solution

The third proportional to 333,265 and 476,236.50 is: 680,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,265 : 476,236.50 = 476,236.50 : x
  2. Step 2: Convert to fraction form
    333,265/476,236.50 = 476,236.50/x
  3. Step 3: Cross multiply
    333,265x = 476,236.50 × 476,236.50
  4. Step 4: Simplify right side
    333,265x = 226,801,203,932.25
  5. Step 5: Solve for x
    x = 226,801,203,932.25/333,265
  6. Step 6: Final answer
    x = 680,543.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.