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Finding the Third Proportional to 291,322 and 393,599

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Solution

The third proportional to 291,322 and 393,599 is: 531,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,322 : 393,599 = 393,599 : x
  2. Step 2: Convert to fraction form
    291,322/393,599 = 393,599/x
  3. Step 3: Cross multiply
    291,322x = 393,599 × 393,599
  4. Step 4: Simplify right side
    291,322x = 154,920,172,801
  5. Step 5: Solve for x
    x = 154,920,172,801/291,322
  6. Step 6: Final answer
    x = 531,783.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.