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Finding the Third Proportional to 354,728 and 535,778

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Solution

The third proportional to 354,728 and 535,778 is: 809,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,728 : 535,778 = 535,778 : x
  2. Step 2: Convert to fraction form
    354,728/535,778 = 535,778/x
  3. Step 3: Cross multiply
    354,728x = 535,778 × 535,778
  4. Step 4: Simplify right side
    354,728x = 287,058,065,284
  5. Step 5: Solve for x
    x = 287,058,065,284/354,728
  6. Step 6: Final answer
    x = 809,234.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.