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Finding the Third Proportional to 352,516 and 728,744

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Solution

The third proportional to 352,516 and 728,744 is: 1,506,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,516 : 728,744 = 728,744 : x
  2. Step 2: Convert to fraction form
    352,516/728,744 = 728,744/x
  3. Step 3: Cross multiply
    352,516x = 728,744 × 728,744
  4. Step 4: Simplify right side
    352,516x = 531,067,817,536
  5. Step 5: Solve for x
    x = 531,067,817,536/352,516
  6. Step 6: Final answer
    x = 1,506,506.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.