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Finding the Third Proportional to 322,280 and 698,128

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Solution

The third proportional to 322,280 and 698,128 is: 1,512,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,280 : 698,128 = 698,128 : x
  2. Step 2: Convert to fraction form
    322,280/698,128 = 698,128/x
  3. Step 3: Cross multiply
    322,280x = 698,128 × 698,128
  4. Step 4: Simplify right side
    322,280x = 487,382,704,384
  5. Step 5: Solve for x
    x = 487,382,704,384/322,280
  6. Step 6: Final answer
    x = 1,512,295.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.