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Finding the Third Proportional to 133,663 and 194,480

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Solution

The third proportional to 133,663 and 194,480 is: 282,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,663 : 194,480 = 194,480 : x
  2. Step 2: Convert to fraction form
    133,663/194,480 = 194,480/x
  3. Step 3: Cross multiply
    133,663x = 194,480 × 194,480
  4. Step 4: Simplify right side
    133,663x = 37,822,470,400
  5. Step 5: Solve for x
    x = 37,822,470,400/133,663
  6. Step 6: Final answer
    x = 282,968.89

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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.