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Finding the Third Proportional to 132,973.31 and 288,100.13

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Solution

The third proportional to 132,973.31 and 288,100.13 is: 624,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,973.31 : 288,100.13 = 288,100.13 : x
  2. Step 2: Convert to fraction form
    132,973.31/288,100.13 = 288,100.13/x
  3. Step 3: Cross multiply
    132,973.31x = 288,100.13 × 288,100.13
  4. Step 4: Simplify right side
    132,973.31x = 83,001,682,025.02
  5. Step 5: Solve for x
    x = 83,001,682,025.02/132,973.31
  6. Step 6: Final answer
    x = 624,198.05

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