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Finding the Third Proportional to 333,102.38 and 732,634.88

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Solution

The third proportional to 333,102.38 and 732,634.88 is: 1,611,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,102.38 : 732,634.88 = 732,634.88 : x
  2. Step 2: Convert to fraction form
    333,102.38/732,634.88 = 732,634.88/x
  3. Step 3: Cross multiply
    333,102.38x = 732,634.88 × 732,634.88
  4. Step 4: Simplify right side
    333,102.38x = 536,753,860,066.27
  5. Step 5: Solve for x
    x = 536,753,860,066.27/333,102.38
  6. Step 6: Final answer
    x = 1,611,378.06

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Why These Related Problems?

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