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Finding the Third Proportional to 132,546 and 288,420

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Solution

The third proportional to 132,546 and 288,420 is: 627,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,546 : 288,420 = 288,420 : x
  2. Step 2: Convert to fraction form
    132,546/288,420 = 288,420/x
  3. Step 3: Cross multiply
    132,546x = 288,420 × 288,420
  4. Step 4: Simplify right side
    132,546x = 83,186,096,400
  5. Step 5: Solve for x
    x = 83,186,096,400/132,546
  6. Step 6: Final answer
    x = 627,601.71

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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.