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Finding the Third Proportional to 333,548 and 733,520

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Solution

The third proportional to 333,548 and 733,520 is: 1,613,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,548 : 733,520 = 733,520 : x
  2. Step 2: Convert to fraction form
    333,548/733,520 = 733,520/x
  3. Step 3: Cross multiply
    333,548x = 733,520 × 733,520
  4. Step 4: Simplify right side
    333,548x = 538,051,590,400
  5. Step 5: Solve for x
    x = 538,051,590,400/333,548
  6. Step 6: Final answer
    x = 1,613,115.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.