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Finding the Third Proportional to 132,438 and 286,878

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Solution

The third proportional to 132,438 and 286,878 is: 621,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438 : 286,878 = 286,878 : x
  2. Step 2: Convert to fraction form
    132,438/286,878 = 286,878/x
  3. Step 3: Cross multiply
    132,438x = 286,878 × 286,878
  4. Step 4: Simplify right side
    132,438x = 82,298,986,884
  5. Step 5: Solve for x
    x = 82,298,986,884/132,438
  6. Step 6: Final answer
    x = 621,415.20

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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.