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Finding the Third Proportional to 338,672 and 728,320

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Solution

The third proportional to 338,672 and 728,320 is: 1,566,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,672 : 728,320 = 728,320 : x
  2. Step 2: Convert to fraction form
    338,672/728,320 = 728,320/x
  3. Step 3: Cross multiply
    338,672x = 728,320 × 728,320
  4. Step 4: Simplify right side
    338,672x = 530,450,022,400
  5. Step 5: Solve for x
    x = 530,450,022,400/338,672
  6. Step 6: Final answer
    x = 1,566,264.77

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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.