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Finding the Third Proportional to 356,774 and 552,729

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Solution

The third proportional to 356,774 and 552,729 is: 856,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,774 : 552,729 = 552,729 : x
  2. Step 2: Convert to fraction form
    356,774/552,729 = 552,729/x
  3. Step 3: Cross multiply
    356,774x = 552,729 × 552,729
  4. Step 4: Simplify right side
    356,774x = 305,509,347,441
  5. Step 5: Solve for x
    x = 305,509,347,441/356,774
  6. Step 6: Final answer
    x = 856,310.57

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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.