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Finding the Third Proportional to 133,627 and 288,140

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Solution

The third proportional to 133,627 and 288,140 is: 621,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,627 : 288,140 = 288,140 : x
  2. Step 2: Convert to fraction form
    133,627/288,140 = 288,140/x
  3. Step 3: Cross multiply
    133,627x = 288,140 × 288,140
  4. Step 4: Simplify right side
    133,627x = 83,024,659,600
  5. Step 5: Solve for x
    x = 83,024,659,600/133,627
  6. Step 6: Final answer
    x = 621,316.50

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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.