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Finding the Third Proportional to 349,494.75 and 713,660.63

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Solution

The third proportional to 349,494.75 and 713,660.63 is: 1,457,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,494.75 : 713,660.63 = 713,660.63 : x
  2. Step 2: Convert to fraction form
    349,494.75/713,660.63 = 713,660.63/x
  3. Step 3: Cross multiply
    349,494.75x = 713,660.63 × 713,660.63
  4. Step 4: Simplify right side
    349,494.75x = 509,311,487,675.39
  5. Step 5: Solve for x
    x = 509,311,487,675.39/349,494.75
  6. Step 6: Final answer
    x = 1,457,279.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.