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Finding the Third Proportional to 355,890 and 550,464

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Solution

The third proportional to 355,890 and 550,464 is: 851,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,890 : 550,464 = 550,464 : x
  2. Step 2: Convert to fraction form
    355,890/550,464 = 550,464/x
  3. Step 3: Cross multiply
    355,890x = 550,464 × 550,464
  4. Step 4: Simplify right side
    355,890x = 303,010,615,296
  5. Step 5: Solve for x
    x = 303,010,615,296/355,890
  6. Step 6: Final answer
    x = 851,416.49

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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.