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Finding the Third Proportional to 274,967 and 402,606

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Solution

The third proportional to 274,967 and 402,606 is: 589,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,967 : 402,606 = 402,606 : x
  2. Step 2: Convert to fraction form
    274,967/402,606 = 402,606/x
  3. Step 3: Cross multiply
    274,967x = 402,606 × 402,606
  4. Step 4: Simplify right side
    274,967x = 162,091,591,236
  5. Step 5: Solve for x
    x = 162,091,591,236/274,967
  6. Step 6: Final answer
    x = 589,494.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.