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Finding the Third Proportional to 336,720 and 743,424

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Solution

The third proportional to 336,720 and 743,424 is: 1,641,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,720 : 743,424 = 743,424 : x
  2. Step 2: Convert to fraction form
    336,720/743,424 = 743,424/x
  3. Step 3: Cross multiply
    336,720x = 743,424 × 743,424
  4. Step 4: Simplify right side
    336,720x = 552,679,243,776
  5. Step 5: Solve for x
    x = 552,679,243,776/336,720
  6. Step 6: Final answer
    x = 1,641,361.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.