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Finding the Third Proportional to 338,664 and 728,304

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Solution

The third proportional to 338,664 and 728,304 is: 1,566,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,664 : 728,304 = 728,304 : x
  2. Step 2: Convert to fraction form
    338,664/728,304 = 728,304/x
  3. Step 3: Cross multiply
    338,664x = 728,304 × 728,304
  4. Step 4: Simplify right side
    338,664x = 530,426,716,416
  5. Step 5: Solve for x
    x = 530,426,716,416/338,664
  6. Step 6: Final answer
    x = 1,566,232.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.