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Finding the Third Proportional to 133,808 and 288,736

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Solution

The third proportional to 133,808 and 288,736 is: 623,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,808 : 288,736 = 288,736 : x
  2. Step 2: Convert to fraction form
    133,808/288,736 = 288,736/x
  3. Step 3: Cross multiply
    133,808x = 288,736 × 288,736
  4. Step 4: Simplify right side
    133,808x = 83,368,477,696
  5. Step 5: Solve for x
    x = 83,368,477,696/133,808
  6. Step 6: Final answer
    x = 623,045.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.