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Finding the Third Proportional to 356,827 and 553,375

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Solution

The third proportional to 356,827 and 553,375 is: 858,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,827 : 553,375 = 553,375 : x
  2. Step 2: Convert to fraction form
    356,827/553,375 = 553,375/x
  3. Step 3: Cross multiply
    356,827x = 553,375 × 553,375
  4. Step 4: Simplify right side
    356,827x = 306,223,890,625
  5. Step 5: Solve for x
    x = 306,223,890,625/356,827
  6. Step 6: Final answer
    x = 858,185.87

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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.