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Finding the Third Proportional to 132,100.50 and 285,747

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Solution

The third proportional to 132,100.50 and 285,747 is: 618,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,100.50 : 285,747 = 285,747 : x
  2. Step 2: Convert to fraction form
    132,100.50/285,747 = 285,747/x
  3. Step 3: Cross multiply
    132,100.50x = 285,747 × 285,747
  4. Step 4: Simplify right side
    132,100.50x = 81,651,348,009
  5. Step 5: Solve for x
    x = 81,651,348,009/132,100.50
  6. Step 6: Final answer
    x = 618,100.22

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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.