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Finding the Third Proportional to 132,973 and 288,100

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Solution

The third proportional to 132,973 and 288,100 is: 624,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,973 : 288,100 = 288,100 : x
  2. Step 2: Convert to fraction form
    132,973/288,100 = 288,100/x
  3. Step 3: Cross multiply
    132,973x = 288,100 × 288,100
  4. Step 4: Simplify right side
    132,973x = 83,001,610,000
  5. Step 5: Solve for x
    x = 83,001,610,000/132,973
  6. Step 6: Final answer
    x = 624,198.97

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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.