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Finding the Third Proportional to 132,619 and 286,414

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Solution

The third proportional to 132,619 and 286,414 is: 618,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,619 : 286,414 = 286,414 : x
  2. Step 2: Convert to fraction form
    132,619/286,414 = 286,414/x
  3. Step 3: Cross multiply
    132,619x = 286,414 × 286,414
  4. Step 4: Simplify right side
    132,619x = 82,032,979,396
  5. Step 5: Solve for x
    x = 82,032,979,396/132,619
  6. Step 6: Final answer
    x = 618,561.29

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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.