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Finding the Third Proportional to 356,240 and 726,986

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Solution

The third proportional to 356,240 and 726,986 is: 1,483,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,240 : 726,986 = 726,986 : x
  2. Step 2: Convert to fraction form
    356,240/726,986 = 726,986/x
  3. Step 3: Cross multiply
    356,240x = 726,986 × 726,986
  4. Step 4: Simplify right side
    356,240x = 528,508,644,196
  5. Step 5: Solve for x
    x = 528,508,644,196/356,240
  6. Step 6: Final answer
    x = 1,483,574.68

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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.