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Finding the Third Proportional to 130,075 and 283,725

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Solution

The third proportional to 130,075 and 283,725 is: 618,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,075 : 283,725 = 283,725 : x
  2. Step 2: Convert to fraction form
    130,075/283,725 = 283,725/x
  3. Step 3: Cross multiply
    130,075x = 283,725 × 283,725
  4. Step 4: Simplify right side
    130,075x = 80,499,875,625
  5. Step 5: Solve for x
    x = 80,499,875,625/130,075
  6. Step 6: Final answer
    x = 618,872.77

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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.