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Finding the Third Proportional to 336,643.88 and 719,942.63

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Solution

The third proportional to 336,643.88 and 719,942.63 is: 1,539,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,643.88 : 719,942.63 = 719,942.63 : x
  2. Step 2: Convert to fraction form
    336,643.88/719,942.63 = 719,942.63/x
  3. Step 3: Cross multiply
    336,643.88x = 719,942.63 × 719,942.63
  4. Step 4: Simplify right side
    336,643.88x = 518,317,383,291.89
  5. Step 5: Solve for x
    x = 518,317,383,291.89/336,643.88
  6. Step 6: Final answer
    x = 1,539,660.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.