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Finding the Third Proportional to 135,697 and 289,429

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Solution

The third proportional to 135,697 and 289,429 is: 617,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,697 : 289,429 = 289,429 : x
  2. Step 2: Convert to fraction form
    135,697/289,429 = 289,429/x
  3. Step 3: Cross multiply
    135,697x = 289,429 × 289,429
  4. Step 4: Simplify right side
    135,697x = 83,769,146,041
  5. Step 5: Solve for x
    x = 83,769,146,041/135,697
  6. Step 6: Final answer
    x = 617,324.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.