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Finding the Third Proportional to 130,338 and 285,622

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Solution

The third proportional to 130,338 and 285,622 is: 625,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,338 : 285,622 = 285,622 : x
  2. Step 2: Convert to fraction form
    130,338/285,622 = 285,622/x
  3. Step 3: Cross multiply
    130,338x = 285,622 × 285,622
  4. Step 4: Simplify right side
    130,338x = 81,579,926,884
  5. Step 5: Solve for x
    x = 81,579,926,884/130,338
  6. Step 6: Final answer
    x = 625,910.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.