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Finding the Third Proportional to 131,873 and 289,018

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Solution

The third proportional to 131,873 and 289,018 is: 633,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,873 : 289,018 = 289,018 : x
  2. Step 2: Convert to fraction form
    131,873/289,018 = 289,018/x
  3. Step 3: Cross multiply
    131,873x = 289,018 × 289,018
  4. Step 4: Simplify right side
    131,873x = 83,531,404,324
  5. Step 5: Solve for x
    x = 83,531,404,324/131,873
  6. Step 6: Final answer
    x = 633,423.10

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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.