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Finding the Third Proportional to 329,920 and 706,496

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Solution

The third proportional to 329,920 and 706,496 is: 1,512,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,920 : 706,496 = 706,496 : x
  2. Step 2: Convert to fraction form
    329,920/706,496 = 706,496/x
  3. Step 3: Cross multiply
    329,920x = 706,496 × 706,496
  4. Step 4: Simplify right side
    329,920x = 499,136,598,016
  5. Step 5: Solve for x
    x = 499,136,598,016/329,920
  6. Step 6: Final answer
    x = 1,512,901.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.