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Finding the Third Proportional to 132,075 and 287,721

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Solution

The third proportional to 132,075 and 287,721 is: 626,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,075 : 287,721 = 287,721 : x
  2. Step 2: Convert to fraction form
    132,075/287,721 = 287,721/x
  3. Step 3: Cross multiply
    132,075x = 287,721 × 287,721
  4. Step 4: Simplify right side
    132,075x = 82,783,373,841
  5. Step 5: Solve for x
    x = 82,783,373,841/132,075
  6. Step 6: Final answer
    x = 626,790.64

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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.