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Finding the Third Proportional to 132,442 and 286,886

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Solution

The third proportional to 132,442 and 286,886 is: 621,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,442 : 286,886 = 286,886 : x
  2. Step 2: Convert to fraction form
    132,442/286,886 = 286,886/x
  3. Step 3: Cross multiply
    132,442x = 286,886 × 286,886
  4. Step 4: Simplify right side
    132,442x = 82,303,576,996
  5. Step 5: Solve for x
    x = 82,303,576,996/132,442
  6. Step 6: Final answer
    x = 621,431.09

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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.