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Finding the Third Proportional to 135,324 and 289,419

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Solution

The third proportional to 135,324 and 289,419 is: 618,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,324 : 289,419 = 289,419 : x
  2. Step 2: Convert to fraction form
    135,324/289,419 = 289,419/x
  3. Step 3: Cross multiply
    135,324x = 289,419 × 289,419
  4. Step 4: Simplify right side
    135,324x = 83,763,357,561
  5. Step 5: Solve for x
    x = 83,763,357,561/135,324
  6. Step 6: Final answer
    x = 618,983.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.