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Finding the Third Proportional to 133,392 and 203,476

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Solution

The third proportional to 133,392 and 203,476 is: 310,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,392 : 203,476 = 203,476 : x
  2. Step 2: Convert to fraction form
    133,392/203,476 = 203,476/x
  3. Step 3: Cross multiply
    133,392x = 203,476 × 203,476
  4. Step 4: Simplify right side
    133,392x = 41,402,482,576
  5. Step 5: Solve for x
    x = 41,402,482,576/133,392
  6. Step 6: Final answer
    x = 310,382.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.