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Finding the Third Proportional to 169,138 and 253,303

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Solution

The third proportional to 169,138 and 253,303 is: 379,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,138 : 253,303 = 253,303 : x
  2. Step 2: Convert to fraction form
    169,138/253,303 = 253,303/x
  3. Step 3: Cross multiply
    169,138x = 253,303 × 253,303
  4. Step 4: Simplify right side
    169,138x = 64,162,409,809
  5. Step 5: Solve for x
    x = 64,162,409,809/169,138
  6. Step 6: Final answer
    x = 379,349.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.