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Finding the Third Proportional to 355,797 and 550,320

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Solution

The third proportional to 355,797 and 550,320 is: 851,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,797 : 550,320 = 550,320 : x
  2. Step 2: Convert to fraction form
    355,797/550,320 = 550,320/x
  3. Step 3: Cross multiply
    355,797x = 550,320 × 550,320
  4. Step 4: Simplify right side
    355,797x = 302,852,102,400
  5. Step 5: Solve for x
    x = 302,852,102,400/355,797
  6. Step 6: Final answer
    x = 851,193.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.