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Finding the Third Proportional to 335,240 and 729,520

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Solution

The third proportional to 335,240 and 729,520 is: 1,587,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,240 : 729,520 = 729,520 : x
  2. Step 2: Convert to fraction form
    335,240/729,520 = 729,520/x
  3. Step 3: Cross multiply
    335,240x = 729,520 × 729,520
  4. Step 4: Simplify right side
    335,240x = 532,199,430,400
  5. Step 5: Solve for x
    x = 532,199,430,400/335,240
  6. Step 6: Final answer
    x = 1,587,517.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.