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Finding the Third Proportional to 730.69 and 1,724.63

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Solution

The third proportional to 730.69 and 1,724.63 is: 4,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,724.63 = 1,724.63 : x
  2. Step 2: Convert to fraction form
    730.69/1,724.63 = 1,724.63/x
  3. Step 3: Cross multiply
    730.69x = 1,724.63 × 1,724.63
  4. Step 4: Simplify right side
    730.69x = 2,974,331.39
  5. Step 5: Solve for x
    x = 2,974,331.39/730.69
  6. Step 6: Final answer
    x = 4,070.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.