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Finding the Third Proportional to 132,420 and 288,168

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Solution

The third proportional to 132,420 and 288,168 is: 627,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,420 : 288,168 = 288,168 : x
  2. Step 2: Convert to fraction form
    132,420/288,168 = 288,168/x
  3. Step 3: Cross multiply
    132,420x = 288,168 × 288,168
  4. Step 4: Simplify right side
    132,420x = 83,040,796,224
  5. Step 5: Solve for x
    x = 83,040,796,224/132,420
  6. Step 6: Final answer
    x = 627,101.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.