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Finding the Third Proportional to 323,482 and 691,298

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Solution

The third proportional to 323,482 and 691,298 is: 1,477,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,482 : 691,298 = 691,298 : x
  2. Step 2: Convert to fraction form
    323,482/691,298 = 691,298/x
  3. Step 3: Cross multiply
    323,482x = 691,298 × 691,298
  4. Step 4: Simplify right side
    323,482x = 477,892,924,804
  5. Step 5: Solve for x
    x = 477,892,924,804/323,482
  6. Step 6: Final answer
    x = 1,477,340.08

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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.