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Finding the Third Proportional to 132,055.31 and 287,689.22

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Solution

The third proportional to 132,055.31 and 287,689.22 is: 626,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,055.31 : 287,689.22 = 287,689.22 : x
  2. Step 2: Convert to fraction form
    132,055.31/287,689.22 = 287,689.22/x
  3. Step 3: Cross multiply
    132,055.31x = 287,689.22 × 287,689.22
  4. Step 4: Simplify right side
    132,055.31x = 82,765,086,584.99
  5. Step 5: Solve for x
    x = 82,765,086,584.99/132,055.31
  6. Step 6: Final answer
    x = 626,745.60

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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.