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Finding the Third Proportional to 329,812 and 722,748

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Solution

The third proportional to 329,812 and 722,748 is: 1,583,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,812 : 722,748 = 722,748 : x
  2. Step 2: Convert to fraction form
    329,812/722,748 = 722,748/x
  3. Step 3: Cross multiply
    329,812x = 722,748 × 722,748
  4. Step 4: Simplify right side
    329,812x = 522,364,671,504
  5. Step 5: Solve for x
    x = 522,364,671,504/329,812
  6. Step 6: Final answer
    x = 1,583,825.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.