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Finding the Third Proportional to 132,441 and 286,884

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Solution

The third proportional to 132,441 and 286,884 is: 621,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,441 : 286,884 = 286,884 : x
  2. Step 2: Convert to fraction form
    132,441/286,884 = 286,884/x
  3. Step 3: Cross multiply
    132,441x = 286,884 × 286,884
  4. Step 4: Simplify right side
    132,441x = 82,302,429,456
  5. Step 5: Solve for x
    x = 82,302,429,456/132,441
  6. Step 6: Final answer
    x = 621,427.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.