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Finding the Third Proportional to 356,128 and 550,691

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Solution

The third proportional to 356,128 and 550,691 is: 851,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,128 : 550,691 = 550,691 : x
  2. Step 2: Convert to fraction form
    356,128/550,691 = 550,691/x
  3. Step 3: Cross multiply
    356,128x = 550,691 × 550,691
  4. Step 4: Simplify right side
    356,128x = 303,260,577,481
  5. Step 5: Solve for x
    x = 303,260,577,481/356,128
  6. Step 6: Final answer
    x = 851,549.38

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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.