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Finding the Third Proportional to 331,300 and 727,685

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Solution

The third proportional to 331,300 and 727,685 is: 1,598,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,300 : 727,685 = 727,685 : x
  2. Step 2: Convert to fraction form
    331,300/727,685 = 727,685/x
  3. Step 3: Cross multiply
    331,300x = 727,685 × 727,685
  4. Step 4: Simplify right side
    331,300x = 529,525,459,225
  5. Step 5: Solve for x
    x = 529,525,459,225/331,300
  6. Step 6: Final answer
    x = 1,598,326.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.