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Finding the Third Proportional to 355,616 and 550,272

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Solution

The third proportional to 355,616 and 550,272 is: 851,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,616 : 550,272 = 550,272 : x
  2. Step 2: Convert to fraction form
    355,616/550,272 = 550,272/x
  3. Step 3: Cross multiply
    355,616x = 550,272 × 550,272
  4. Step 4: Simplify right side
    355,616x = 302,799,273,984
  5. Step 5: Solve for x
    x = 302,799,273,984/355,616
  6. Step 6: Final answer
    x = 851,478.21

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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.