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Finding the Third Proportional to 133,390 and 203,472

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Solution

The third proportional to 133,390 and 203,472 is: 310,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,390 : 203,472 = 203,472 : x
  2. Step 2: Convert to fraction form
    133,390/203,472 = 203,472/x
  3. Step 3: Cross multiply
    133,390x = 203,472 × 203,472
  4. Step 4: Simplify right side
    133,390x = 41,400,854,784
  5. Step 5: Solve for x
    x = 41,400,854,784/133,390
  6. Step 6: Final answer
    x = 310,374.50

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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.