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Finding the Third Proportional to 133,343 and 194,748

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Solution

The third proportional to 133,343 and 194,748 is: 284,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,343 : 194,748 = 194,748 : x
  2. Step 2: Convert to fraction form
    133,343/194,748 = 194,748/x
  3. Step 3: Cross multiply
    133,343x = 194,748 × 194,748
  4. Step 4: Simplify right side
    133,343x = 37,926,783,504
  5. Step 5: Solve for x
    x = 37,926,783,504/133,343
  6. Step 6: Final answer
    x = 284,430.26

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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.