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Finding the Third Proportional to 323,298 and 698,220

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Solution

The third proportional to 323,298 and 698,220 is: 1,507,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,298 : 698,220 = 698,220 : x
  2. Step 2: Convert to fraction form
    323,298/698,220 = 698,220/x
  3. Step 3: Cross multiply
    323,298x = 698,220 × 698,220
  4. Step 4: Simplify right side
    323,298x = 487,511,168,400
  5. Step 5: Solve for x
    x = 487,511,168,400/323,298
  6. Step 6: Final answer
    x = 1,507,931.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.