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Finding the Third Proportional to 133,640 and 288,014

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Solution

The third proportional to 133,640 and 288,014 is: 620,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,640 : 288,014 = 288,014 : x
  2. Step 2: Convert to fraction form
    133,640/288,014 = 288,014/x
  3. Step 3: Cross multiply
    133,640x = 288,014 × 288,014
  4. Step 4: Simplify right side
    133,640x = 82,952,064,196
  5. Step 5: Solve for x
    x = 82,952,064,196/133,640
  6. Step 6: Final answer
    x = 620,712.84

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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.