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Finding the Third Proportional to 133,085 and 205,574

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Solution

The third proportional to 133,085 and 205,574 is: 317,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 205,574 = 205,574 : x
  2. Step 2: Convert to fraction form
    133,085/205,574 = 205,574/x
  3. Step 3: Cross multiply
    133,085x = 205,574 × 205,574
  4. Step 4: Simplify right side
    133,085x = 42,260,669,476
  5. Step 5: Solve for x
    x = 42,260,669,476/133,085
  6. Step 6: Final answer
    x = 317,546.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.